915312960 has 336 divisors, whose sum is σ = 3328416000. Its totient is φ = 239376384.

The previous prime is 915312949. The next prime is 915313001. The reversal of 915312960 is 69213519.

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 47 ways as a sum of consecutive naturals, for example, 6142966 + ... + 6143114.

It is an arithmetic number, because the mean of its divisors is an integer number (9906000).

Almost surely, 2^915312960 is an apocalyptic number.

915312960 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 915312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208000).

915312960 is an abundant number, since it is smaller than the sum of its proper divisors (2413103040).

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

915312960 is a wasteful number, since it uses less digits than its factorization.

915312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 915312960 is about 30254.1395514730. The cubic root of 915312960 is about 970.9343602472.

The spelling of 915312960 in words is "nine hundred fifteen million, three hundred twelve thousand, nine hundred sixty".