945123840 has 480 divisors, whose sum is σ = 3676907520. Its totient is φ = 222953472.

The previous prime is 945123811. The next prime is 945123853. The reversal of 945123840 is 48321549.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 945123795 and 945123804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7441857 + ... + 7441983.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^945123840 is an apocalyptic number.

945123840 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 945123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

945123840 is an abundant number, since it is smaller than the sum of its proper divisors (2731783680).

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

945123840 is a wasteful number, since it uses less digits than its factorization.

945123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

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

The square root of 945123840 is about 30742.8664896428. The cubic root of 945123840 is about 981.3627577294.

The spelling of 945123840 in words is "nine hundred forty-five million, one hundred twenty-three thousand, eight hundred forty".