311140992 has 128 divisors (see below), whose sum is σ = 865123200. Its totient is φ = 98979840.

The previous prime is 311140981. The next prime is 311140997. The reversal of 311140992 is 299041113.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (311140997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866509 + ... + 866867.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^311140992 is an apocalyptic number.

311140992 is a gapful number since it is divisible by the number (32) 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 311140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432561600).

311140992 is an abundant number, since it is smaller than the sum of its proper divisors (553982208).

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

311140992 is a wasteful number, since it uses less digits than its factorization.

311140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 311140992 is about 17639.1890970078. The cubic root of 311140992 is about 677.6192639630.

The spelling of 311140992 in words is "three hundred eleven million, one hundred forty thousand, nine hundred ninety-two".