312140976 has 80 divisors (see below), whose sum is σ = 940416000. Its totient is φ = 89178432.

The previous prime is 312140971. The next prime is 312141001. The reversal of 312140976 is 679041213.

It is not an unprimeable number, because it can be changed into a prime (312140971) 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 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (11755200).

Almost surely, 2^312140976 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 312140976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470208000).

312140976 is an abundant number, since it is smaller than the sum of its proper divisors (628275024).

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

312140976 is a wasteful number, since it uses less digits than its factorization.

312140976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18991 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 312140976 is about 17667.5118791526. The cubic root of 312140976 is about 678.3444269439.

The spelling of 312140976 in words is "three hundred twelve million, one hundred forty thousand, nine hundred seventy-six".