915664320 has 168 divisors, whose sum is σ = 3161995200. Its totient is φ = 243210240.

The previous prime is 915664313. The next prime is 915664363. The reversal of 915664320 is 23466519.

It is a happy number.

915664320 is a `hidden beast` number, since 9 + 1 + 5 + 6 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×915664320² = 1676882293842124800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1004665 + ... + 1005575.

It is an arithmetic number, because the mean of its divisors is an integer number (18821400).

Almost surely, 2^915664320 is an apocalyptic number.

915664320 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 915664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580997600).

915664320 is an abundant number, since it is smaller than the sum of its proper divisors (2246330880).

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

915664320 is a wasteful number, since it uses less digits than its factorization.

915664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 915664320 is about 30259.9458029918. The cubic root of 915664320 is about 971.0585814586.

The spelling of 915664320 in words is "nine hundred fifteen million, six hundred sixty-four thousand, three hundred twenty".