319691664 has 160 divisors (see below), whose sum is σ = 983508480. Its totient is φ = 99072000.

The previous prime is 319691641. The next prime is 319691693. The reversal of 319691664 is 466196913.

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 31 ways as a sum of consecutive naturals, for example, 741529 + ... + 741959.

It is an arithmetic number, because the mean of its divisors is an integer number (6146928).

Almost surely, 2^319691664 is an apocalyptic number.

319691664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491754240).

319691664 is an abundant number, since it is smaller than the sum of its proper divisors (663816816).

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

319691664 is a wasteful number, since it uses less digits than its factorization.

319691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 319691664 is about 17879.9234897692. The cubic root of 319691664 is about 683.7706217635.

It can be divided in two parts, 31969 and 1664, that added together give a palindrome (33633).

The spelling of 319691664 in words is "three hundred nineteen million, six hundred ninety-one thousand, six hundred sixty-four".