921838320 has 400 divisors, whose sum is σ = 3569271552. Its totient is φ = 218972160.

The previous prime is 921838279. The next prime is 921838331. The reversal of 921838320 is 23838129.

It is a happy number.

921838320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2611264 + ... + 2611616.

Almost surely, 2^921838320 is an apocalyptic number.

921838320 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 921838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784635776).

921838320 is an abundant number, since it is smaller than the sum of its proper divisors (2647433232).

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

921838320 is a wasteful number, since it uses less digits than its factorization.

921838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 921838320 is about 30361.7904610384. The cubic root of 921838320 is about 973.2361957647.

The spelling of 921838320 in words is "nine hundred twenty-one million, eight hundred thirty-eight thousand, three hundred twenty".