924073920 has 560 divisors, whose sum is σ = 4107045888. Its totient is φ = 191600640.

The previous prime is 924073901. The next prime is 924073973. The reversal of 924073920 is 29370429.

924073920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995609 + ... + 1996071.

Almost surely, 2^924073920 is an apocalyptic number.

924073920 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 924073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053522944).

924073920 is an abundant number, since it is smaller than the sum of its proper divisors (3182971968).

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

924073920 is a wasteful number, since it uses less digits than its factorization.

924073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 924073920 is about 30398.5841775567. The cubic root of 924073920 is about 974.0223098809.

The spelling of 924073920 in words is "nine hundred twenty-four million, seventy-three thousand, nine hundred twenty".