312548064 has 96 divisors (see below), whose sum is σ = 838524960. Its totient is φ = 101916672.

The previous prime is 312548059. The next prime is 312548083. The reversal of 312548064 is 460845213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341292 + ... + 1341524.

It is an arithmetic number, because the mean of its divisors is an integer number (8734635).

Almost surely, 2^312548064 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 312548064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419262480).

312548064 is an abundant number, since it is smaller than the sum of its proper divisors (525976896).

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

312548064 is a wasteful number, since it uses less digits than its factorization.

312548064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 312548064 is about 17679.0289326083. The cubic root of 312548064 is about 678.6391932368.

The spelling of 312548064 in words is "three hundred twelve million, five hundred forty-eight thousand, sixty-four".