312011568 has 240 divisors, whose sum is σ = 1013268480. Its totient is φ = 91808640.

The previous prime is 312011561. The next prime is 312011593. The reversal of 312011568 is 865110213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312011561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456721 + ... + 2456847.

It is an arithmetic number, because the mean of its divisors is an integer number (4221952).

Almost surely, 2^312011568 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 312011568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506634240).

312011568 is an abundant number, since it is smaller than the sum of its proper divisors (701256912).

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

312011568 is a wasteful number, since it uses less digits than its factorization.

312011568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 312011568 is about 17663.8491841388. The cubic root of 312011568 is about 678.2506708783.

The spelling of 312011568 in words is "three hundred twelve million, eleven thousand, five hundred sixty-eight".