312685920 has 240 divisors, whose sum is σ = 1152597600. Its totient is φ = 79681536.

The previous prime is 312685903. The next prime is 312685949. The reversal of 312685920 is 29586213.

312685920 is a `hidden beast` number, since 3 + 1 + 2 + 68 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 297556 + ... + 298604.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2^312685920 is an apocalyptic number.

312685920 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 312685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576298800).

312685920 is an abundant number, since it is smaller than the sum of its proper divisors (839911680).

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

312685920 is a wasteful number, since it uses less digits than its factorization.

312685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 312685920 is about 17682.9273594617. The cubic root of 312685920 is about 678.7389546751.

The spelling of 312685920 in words is "three hundred twelve million, six hundred eighty-five thousand, nine hundred twenty".