312556068 has 90 divisors (see below), whose sum is σ = 870539670. Its totient is φ = 94554240.

The previous prime is 312556037. The next prime is 312556081. The reversal of 312556068 is 860655213.

312556068 is a `hidden beast` number, since 31 + 2 + 5 + 560 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 278823204 + 33732864 = 16698^2 + 5808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 526780 + ... + 527372.

It is an arithmetic number, because the mean of its divisors is an integer number (9672663).

Almost surely, 2^312556068 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 312556068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435269835).

312556068 is an abundant number, since it is smaller than the sum of its proper divisors (557983602).

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

312556068 is a wasteful number, since it uses less digits than its factorization.

312556068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 312556068 is about 17679.2553010584. The cubic root of 312556068 is about 678.6449862463.

The spelling of 312556068 in words is "three hundred twelve million, five hundred fifty-six thousand, sixty-eight".