915936 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 247296.

The previous prime is 915919. The next prime is 915947. The reversal of 915936 is 639519.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 915897 and 915906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19465 + ... + 19511.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁹¹⁵⁹³⁶ is an apocalyptic number.

915936 is a gapful number since it is divisible by the number (96) 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 915936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

915936 is an abundant number, since it is smaller than the sum of its proper divisors (1987104).

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

915936 is a wasteful number, since it uses less digits than its factorization.

915936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 915936 is about 957.0454534660. The cubic root of 915936 is about 97.1154610503.

The spelling of 915936 in words is "nine hundred fifteen thousand, nine hundred thirty-six".