311227968 has 56 divisors (see below), whose sum is σ = 825491872. Its totient is φ = 103486464.

The previous prime is 311227967. The next prime is 311227991. The reversal of 311227968 is 869722113.

It is not an unprimeable number, because it can be changed into a prime (311227967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85971 + ... + 89517.

Almost surely, 2^311227968 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 311227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412745936).

311227968 is an abundant number, since it is smaller than the sum of its proper divisors (514263904).

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

311227968 is a wasteful number, since it uses less digits than its factorization.

311227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4009 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 311227968 is about 17641.6543441935. The cubic root of 311227968 is about 677.6823983873.

The spelling of 311227968 in words is "three hundred eleven million, two hundred twenty-seven thousand, nine hundred sixty-eight".