312608000 has 72 divisors (see below), whose sum is σ = 778825320. Its totient is φ = 125030400.

The previous prime is 312607993. The next prime is 312608017. The reversal of 312608000 is 806213.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 286557184 = 5104^2 + 16928^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27116 + ... + 36884.

Almost surely, 2^312608000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389412660).

312608000 is an abundant number, since it is smaller than the sum of its proper divisors (466217320).

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

312608000 is an frugal number, since it uses more digits than its factorization.

312608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 312608000 is about 17680.7239670778. The cubic root of 312608000 is about 678.6825703720.

The spelling of 312608000 in words is "three hundred twelve million, six hundred eight thousand".