319682664 has 288 divisors, whose sum is σ = 1081267200. Its totient is φ = 84913920.

The previous prime is 319682659. The next prime is 319682677. The reversal of 319682664 is 466286913.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4046577 + ... + 4046655.

It is an arithmetic number, because the mean of its divisors is an integer number (3754400).

Almost surely, 2^319682664 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 319682664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540633600).

319682664 is an abundant number, since it is smaller than the sum of its proper divisors (761584536).

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

319682664 is a wasteful number, since it uses less digits than its factorization.

319682664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

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

The square root of 319682664 is about 17879.6718090685. The cubic root of 319682664 is about 683.7642051711.

The spelling of 319682664 in words is "three hundred nineteen million, six hundred eighty-two thousand, six hundred sixty-four".