915516 has 72 divisors (see below), whose sum is σ = 2777040. Its totient is φ = 260064.

The previous prime is 915487. The next prime is 915527. The reversal of 915516 is 615519.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 915516.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 915516.

It is an unprimeable number.

915516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (38570).

2⁹¹⁵⁵¹⁶ 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 915516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388520).

915516 is an abundant number, since it is smaller than the sum of its proper divisors (1861524).

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

915516 is a wasteful number, since it uses less digits than its factorization.

915516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 915516 is about 956.8260029911. The cubic root of 915516 is about 97.1006147693.

It can be divided in two parts, 915 and 516, that added together give a triangular number (1431 = T₅₃).

The spelling of 915516 in words is "nine hundred fifteen thousand, five hundred sixteen".