815232 has 64 divisors (see below), whose sum is σ = 2374560. Its totient is φ = 245760.

The previous prime is 815231. The next prime is 815251. The reversal of 815232 is 232518.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 815199 and 815208.

It is not an unprimeable number, because it can be changed into a prime (815231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4128 + ... + 4320.

2⁸¹⁵²³² 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 815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187280).

815232 is an abundant number, since it is smaller than the sum of its proper divisors (1559328).

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

815232 is a wasteful number, since it uses less digits than its factorization.

815232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 815232 is about 902.9019880364. The cubic root of 815232 is about 93.4172487925.

The spelling of 815232 in words is "eight hundred fifteen thousand, two hundred thirty-two".