945164880 has 360 divisors, whose sum is σ = 3679035360. Its totient is φ = 216691200.

The previous prime is 945164867. The next prime is 945164881. The reversal of 945164880 is 88461549.

945164880 is a `hidden beast` number, since 94 + 516 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945164881) 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, 1654995 + ... + 1655565.

Almost surely, 2^945164880 is an apocalyptic number.

945164880 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 945164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839517680).

945164880 is an abundant number, since it is smaller than the sum of its proper divisors (2733870480).

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

945164880 is a wasteful number, since it uses less digits than its factorization.

945164880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 945164880 is about 30743.5339543131. The cubic root of 945164880 is about 981.3769620565.

The spelling of 945164880 in words is "nine hundred forty-five million, one hundred sixty-four thousand, eight hundred eighty".