945080640 has 504 divisors, whose sum is σ = 3905064072. Its totient is φ = 209018880.

The previous prime is 945080639. The next prime is 945080641. The reversal of 945080640 is 46080549.

945080640 is a `hidden beast` number, since 9 + 4 + 5 + 0 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (945080639) and next prime (945080641).

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 904325184 = 6384^2 + 30072^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×945080640² = 1786354832205619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 945080595 and 945080604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945080641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221350 + ... + 5221530.

It is an arithmetic number, because the mean of its divisors is an integer number (7748143).

Almost surely, 2^945080640 is an apocalyptic number.

945080640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952532036).

945080640 is an abundant number, since it is smaller than the sum of its proper divisors (2959983432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

945080640 is a wasteful number, since it uses less digits than its factorization.

945080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 945080640 is about 30742.1638795970. The cubic root of 945080640 is about 981.3478053618.

The spelling of 945080640 in words is "nine hundred forty-five million, eighty thousand, six hundred forty".