311376960 has 280 divisors, whose sum is σ = 1138510296. Its totient is φ = 80732160.

The previous prime is 311376929. The next prime is 311376983. The reversal of 311376960 is 69673113.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 281434176 = 5472^2 + 16776^2 .

It is a super-2 number, since 2×311376960² = 193911222437683200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062574 + ... + 1062866.

Almost surely, 2^311376960 is an apocalyptic number.

311376960 is a gapful number since it is divisible by the number (30) 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 311376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569255148).

311376960 is an abundant number, since it is smaller than the sum of its proper divisors (827133336).

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

311376960 is a wasteful number, since it uses less digits than its factorization.

311376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 311376960 is about 17645.8765721627. The cubic root of 311376960 is about 677.7905218622.

The spelling of 311376960 in words is "three hundred eleven million, three hundred seventy-six thousand, nine hundred sixty".