310145664 has 64 divisors (see below), whose sum is σ = 867204000. Its totient is φ = 97938432.

The previous prime is 310145663. The next prime is 310145677. The reversal of 310145664 is 466541013.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (310145663) 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, 13959 + ... + 28550.

Almost surely, 2^310145664 is an apocalyptic number.

It is an amenable number.

310145664 is an abundant number, since it is smaller than the sum of its proper divisors (557058336).

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

310145664 is a wasteful number, since it uses less digits than its factorization.

310145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42545 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 310145664 is about 17610.9529554763. The cubic root of 310145664 is about 676.8959328382.

Adding to 310145664 its reverse (466541013), we get a palindrome (776686677).

The spelling of 310145664 in words is "three hundred ten million, one hundred forty-five thousand, six hundred sixty-four".