319612104 has 216 divisors, whose sum is σ = 1080978210. Its totient is φ = 84768768.

The previous prime is 319612093. The next prime is 319612147. The reversal of 319612104 is 401216913.

319612104 is a `hidden beast` number, since 31 + 9 + 612 + 10 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 309689604 + 9922500 = 17598^2 + 3150^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4378212 + ... + 4378284.

Almost surely, 2^319612104 is an apocalyptic number.

319612104 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 319612104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540489105).

319612104 is an abundant number, since it is smaller than the sum of its proper divisors (761366106).

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

319612104 is a wasteful number, since it uses less digits than its factorization.

319612104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 319612104 is about 17877.6985095957. The cubic root of 319612104 is about 683.7138949126.

The spelling of 319612104 in words is "three hundred nineteen million, six hundred twelve thousand, one hundred four".