311664768 has 32 divisors (see below), whose sum is σ = 827860560. Its totient is φ = 103888128.

The previous prime is 311664767. The next prime is 311664779. The reversal of 311664768 is 867466113.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×311664768² = 194269855224987648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (311664763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 405430 + ... + 406197.

Almost surely, 2^311664768 is an apocalyptic number.

It is an amenable number.

311664768 is an abundant number, since it is smaller than the sum of its proper divisors (516195792).

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

311664768 is an equidigital number, since it uses as much as digits as its factorization.

311664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811644 (or 811632 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 311664768 is about 17654.0297949222. The cubic root of 311664768 is about 677.9992864656. Note that the first 3 decimals are identical.

The spelling of 311664768 in words is "three hundred eleven million, six hundred sixty-four thousand, seven hundred sixty-eight".