311249664 has 108 divisors (see below), whose sum is σ = 979071912. Its totient is φ = 94310400.

The previous prime is 311249647. The next prime is 311249669. The reversal of 311249664 is 466942113.

It is a super-2 number, since 2×311249664² = 193752706680225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311249669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19204 + ... + 31484.

Almost surely, 2^311249664 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 311249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489535956).

311249664 is an abundant number, since it is smaller than the sum of its proper divisors (667822248).

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

311249664 is a wasteful number, since it uses less digits than its factorization.

311249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12314 (or 12297 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 311249664 is about 17642.2692417954. The cubic root of 311249664 is about 677.6981453180.

The spelling of 311249664 in words is "three hundred eleven million, two hundred forty-nine thousand, six hundred sixty-four".