313061632 has 72 divisors (see below), whose sum is σ = 708532160. Its totient is φ = 136857600.

The previous prime is 313061627. The next prime is 313061659. The reversal of 313061632 is 236160313.

It is a junction number, because it is equal to n+sod(n) for n = 313061597 and 313061606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60757 + ... + 65707.

Almost surely, 2^313061632 is an apocalyptic number.

313061632 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 313061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354266080).

313061632 is an abundant number, since it is smaller than the sum of its proper divisors (395470528).

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

313061632 is a wasteful number, since it uses less digits than its factorization.

313061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 313061632 is about 17693.5477505219. The cubic root of 313061632 is about 679.0106951927.

The spelling of 313061632 in words is "three hundred thirteen million, sixty-one thousand, six hundred thirty-two".