313520832 has 168 divisors, whose sum is σ = 945587136. Its totient is φ = 99201024.

The previous prime is 313520821. The next prime is 313520849. The reversal of 313520832 is 238025313.

It is a junction number, because it is equal to n+sod(n) for n = 313520796 and 313520805.

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, 1001508 + ... + 1001820.

Almost surely, 2^313520832 is an apocalyptic number.

313520832 is a gapful number since it is divisible by the number (32) 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 313520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472793568).

313520832 is an abundant number, since it is smaller than the sum of its proper divisors (632066304).

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

313520832 is a wasteful number, since it uses less digits than its factorization.

313520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 313520832 is about 17706.5194772999. The cubic root of 313520832 is about 679.3425248314.

The spelling of 313520832 in words is "three hundred thirteen million, five hundred twenty thousand, eight hundred thirty-two".