319013640 has 160 divisors (see below), whose sum is σ = 1169847360. Its totient is φ = 77328000.

The previous prime is 319013567. The next prime is 319013663. The reversal of 319013640 is 46310913.

319013640 is a `hidden beast` number, since 3 + 1 + 9 + 0 + 13 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31165 + ... + 40115.

It is an arithmetic number, because the mean of its divisors is an integer number (7311546).

Almost surely, 2^319013640 is an apocalyptic number.

319013640 is a gapful number since it is divisible by the number (30) 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 319013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584923680).

319013640 is an abundant number, since it is smaller than the sum of its proper divisors (850833720).

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

319013640 is a wasteful number, since it uses less digits than its factorization.

319013640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 319013640 is about 17860.9529421025. The cubic root of 319013640 is about 683.2868837486.

The spelling of 319013640 in words is "three hundred nineteen million, thirteen thousand, six hundred forty".