915993120 has 192 divisors, whose sum is σ = 3318174720. Its totient is φ = 208063488.

The previous prime is 915993119. The next prime is 915993131. The reversal of 915993120 is 21399519.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600679 + ... + 602201.

It is an arithmetic number, because the mean of its divisors is an integer number (17282160).

Almost surely, 2^915993120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659087360).

915993120 is an abundant number, since it is smaller than the sum of its proper divisors (2402181600).

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

915993120 is a wasteful number, since it uses less digits than its factorization.

915993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 915993120 is about 30265.3782398304. The cubic root of 915993120 is about 971.1747979387.

The spelling of 915993120 in words is "nine hundred fifteen million, nine hundred ninety-three thousand, one hundred twenty".