312552320 has 128 divisors (see below), whose sum is σ = 782796960. Its totient is φ = 119218176.

The previous prime is 312552311. The next prime is 312552329. The reversal of 312552320 is 23255213.

312552320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312552311) and next prime (312552329).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312552329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586462 + ... + 1586658.

Almost surely, 2^312552320 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 312552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391398480).

312552320 is an abundant number, since it is smaller than the sum of its proper divisors (470244640).

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

312552320 is a wasteful number, since it uses less digits than its factorization.

312552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 312552320 is about 17679.1493008006. The cubic root of 312552320 is about 678.6422735900.

The spelling of 312552320 in words is "three hundred twelve million, five hundred fifty-two thousand, three hundred twenty".