313508664 has 192 divisors, whose sum is σ = 1067040000. Its totient is φ = 84805056.

The previous prime is 313508639. The next prime is 313508681. The reversal of 313508664 is 466805313.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200317 + ... + 201875.

It is an arithmetic number, because the mean of its divisors is an integer number (5557500).

Almost surely, 2^313508664 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 313508664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533520000).

313508664 is an abundant number, since it is smaller than the sum of its proper divisors (753531336).

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

313508664 is a wasteful number, since it uses less digits than its factorization.

313508664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 313508664 is about 17706.1758717121. The cubic root of 313508664 is about 679.3337361046. Note that the first 3 decimals are identical.

The spelling of 313508664 in words is "three hundred thirteen million, five hundred eight thousand, six hundred sixty-four".