319140864 has 352 divisors, whose sum is σ = 1155490560. Its totient is φ = 84934656.

The previous prime is 319140863. The next prime is 319140869. The reversal of 319140864 is 468041913.

319140864 is a `hidden beast` number, since 3 + 191 + 408 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319140863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290064 + ... + 3290160.

Almost surely, 2^319140864 is an apocalyptic number.

319140864 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 319140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577745280).

319140864 is an abundant number, since it is smaller than the sum of its proper divisors (836349696).

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

319140864 is a wasteful number, since it uses less digits than its factorization.

319140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 319140864 is about 17864.5140991856. The cubic root of 319140864 is about 683.3777042508.

The spelling of 319140864 in words is "three hundred nineteen million, one hundred forty thousand, eight hundred sixty-four".