311668680 has 64 divisors (see below), whose sum is σ = 950875200. Its totient is φ = 81701120.

The previous prime is 311668661. The next prime is 311668711. The reversal of 311668680 is 86866113.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14931 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (14857425).

Almost surely, 2^311668680 is an apocalyptic number.

311668680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311668680 is an abundant number, since it is smaller than the sum of its proper divisors (639206520).

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

311668680 is a wasteful number, since it uses less digits than its factorization.

311668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44094 (or 44090 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 311668680 is about 17654.1405908076. The cubic root of 311668680 is about 678.0021231910.

The spelling of 311668680 in words is "three hundred eleven million, six hundred sixty-eight thousand, six hundred eighty".