312689664 has 264 divisors, whose sum is σ = 1067846208. Its totient is φ = 86261760.

The previous prime is 312689639. The next prime is 312689683. The reversal of 312689664 is 466986213.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386879 + ... + 2387009.

It is an arithmetic number, because the mean of its divisors is an integer number (4044872).

Almost surely, 2^312689664 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 312689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533923104).

312689664 is an abundant number, since it is smaller than the sum of its proper divisors (755156544).

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

312689664 is a wasteful number, since it uses less digits than its factorization.

312689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 312689664 is about 17683.0332239692. The cubic root of 312689664 is about 678.7416636645.

The spelling of 312689664 in words is "three hundred twelve million, six hundred eighty-nine thousand, six hundred sixty-four".