312509664 has 72 divisors (see below), whose sum is σ = 921637080. Its totient is φ = 104167296.

The previous prime is 312509629. The next prime is 312509683. The reversal of 312509664 is 466905213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 12319 + ... + 27870.

It is an arithmetic number, because the mean of its divisors is an integer number (12800515).

Almost surely, 2^312509664 is an apocalyptic number.

It is an amenable number.

312509664 is an abundant number, since it is smaller than the sum of its proper divisors (609127416).

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

312509664 is an equidigital number, since it uses as much as digits as its factorization.

312509664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214 (or 40194 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 312509664 is about 17677.9428667478. The cubic root of 312509664 is about 678.6113993118.

The spelling of 312509664 in words is "three hundred twelve million, five hundred nine thousand, six hundred sixty-four".