924081920 has 72 divisors (see below), whose sum is σ = 2343723984. Its totient is φ = 347881472.

The previous prime is 924081913. The next prime is 924081931. The reversal of 924081920 is 29180429.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527 + ... + 42993.

It is an arithmetic number, because the mean of its divisors is an integer number (32551722).

Almost surely, 2^924081920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 924081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171861992).

924081920 is an abundant number, since it is smaller than the sum of its proper divisors (1419642064).

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

924081920 is a wasteful number, since it uses less digits than its factorization.

924081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42505 (or 42491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 924081920 is about 30398.7157623476. The cubic root of 924081920 is about 974.0251206791.

The spelling of 924081920 in words is "nine hundred twenty-four million, eighty-one thousand, nine hundred twenty".