313607664 has 60 divisors (see below), whose sum is σ = 880016592. Its totient is φ = 104256000.

The previous prime is 313607633. The next prime is 313607699. The reversal of 313607664 is 466706313.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55029 + ... + 60459.

Almost surely, 2^313607664 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 313607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440008296).

313607664 is an abundant number, since it is smaller than the sum of its proper divisors (566408928).

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

313607664 is a wasteful number, since it uses less digits than its factorization.

313607664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 313607664 is about 17708.9712857636. The cubic root of 313607664 is about 679.4052354172.

The spelling of 313607664 in words is "three hundred thirteen million, six hundred seven thousand, six hundred sixty-four".