915793920 has 288 divisors, whose sum is σ = 3347416800. Its totient is φ = 230916096.

The previous prime is 915793897. The next prime is 915793933. The reversal of 915793920 is 29397519.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750779 + ... + 1751301.

It is an arithmetic number, because the mean of its divisors is an integer number (11622975).

Almost surely, 2^915793920 is an apocalyptic number.

915793920 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 915793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673708400).

915793920 is an abundant number, since it is smaller than the sum of its proper divisors (2431622880).

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

915793920 is a wasteful number, since it uses less digits than its factorization.

915793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 915793920 is about 30262.0871719054. The cubic root of 915793920 is about 971.1043927355.

The spelling of 915793920 in words is "nine hundred fifteen million, seven hundred ninety-three thousand, nine hundred twenty".