313977664 has 224 divisors, whose sum is σ = 870508800. Its totient is φ = 109025280.

The previous prime is 313977659. The next prime is 313977667. The reversal of 313977664 is 466779313.

It is a tau number, because it is divible by the number of its divisors (224).

Its product of digits (571536) is a multiple of the sum of its prime factors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313977667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10826802 + ... + 10826830.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2^313977664 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 313977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435254400).

313977664 is an abundant number, since it is smaller than the sum of its proper divisors (556531136).

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

313977664 is a wasteful number, since it uses less digits than its factorization.

313977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The square root of 313977664 is about 17719.4148887597. The cubic root of 313977664 is about 679.6723219395.

The spelling of 313977664 in words is "three hundred thirteen million, nine hundred seventy-seven thousand, six hundred sixty-four".