921792960 has 560 divisors, whose sum is σ = 3704307552. Its totient is φ = 215654400.

The previous prime is 921792953. The next prime is 921792983. The reversal of 921792960 is 69297129.

921792960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×921792960² = 1699404522211123200, which contains 22 as substring.

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

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, 15111330 + ... + 15111390.

Almost surely, 2^921792960 is an apocalyptic number.

921792960 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 921792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852153776).

921792960 is an abundant number, since it is smaller than the sum of its proper divisors (2782514592).

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

921792960 is a wasteful number, since it uses less digits than its factorization.

921792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 921792960 is about 30361.0434603292. The cubic root of 921792960 is about 973.2202324745.

It can be divided in two parts, 921 and 792960, that added together give a square (793881 = 891²).

The spelling of 921792960 in words is "nine hundred twenty-one million, seven hundred ninety-two thousand, nine hundred sixty".