311954664 has 64 divisors (see below), whose sum is σ = 896716800. Its totient is φ = 88588224.

The previous prime is 311954663. The next prime is 311954677. The reversal of 311954664 is 466459113.

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

It is not an unprimeable number, because it can be changed into a prime (311954663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22497 + ... + 33615.

It is an arithmetic number, because the mean of its divisors is an integer number (14011200).

Almost surely, 2^311954664 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 311954664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448358400).

311954664 is an abundant number, since it is smaller than the sum of its proper divisors (584762136).

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

311954664 is a wasteful number, since it uses less digits than its factorization.

311954664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11298 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 311954664 is about 17662.2383632426. The cubic root of 311954664 is about 678.2094357376.

The spelling of 311954664 in words is "three hundred eleven million, nine hundred fifty-four thousand, six hundred sixty-four".