312890688 has 336 divisors, whose sum is σ = 1065093120. Its totient is φ = 90201600.

The previous prime is 312890687. The next prime is 312890707. The reversal of 312890688 is 886098213.

It is a super-2 number, since 2×312890688² = 195801165274226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312890687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5303203 + ... + 5303261.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^312890688 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 312890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

312890688 is an abundant number, since it is smaller than the sum of its proper divisors (752202432).

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

312890688 is a wasteful number, since it uses less digits than its factorization.

312890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 312890688 is about 17688.7164034025. The cubic root of 312890688 is about 678.8870838165.

The spelling of 312890688 in words is "three hundred twelve million, eight hundred ninety thousand, six hundred eighty-eight".