915120 has 120 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 230400.

The previous prime is 915113. The next prime is 915139. The reversal of 915120 is 21519.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×915120² = 1674889228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 915093 and 915102.

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, 22300 + ... + 22340.

2⁹¹⁵¹²⁰ is an apocalyptic number.

915120 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 915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

915120 is an abundant number, since it is smaller than the sum of its proper divisors (2334672).

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

915120 is a wasteful number, since it uses less digits than its factorization.

915120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 915120 is about 956.6190464338. The cubic root of 915120 is about 97.0866126878.

Adding to 915120 its reverse (21519), we get a palindrome (936639).

It can be divided in two parts, 915 and 120, that added together give a triangular number (1035 = T₄₅).

The spelling of 915120 in words is "nine hundred fifteen thousand, one hundred twenty".