312840096 has 72 divisors (see below), whose sum is σ = 848800512. Its totient is φ = 100886400.

The previous prime is 312840071. The next prime is 312840107. The reversal of 312840096 is 690048213.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90561 + ... + 93951.

It is an arithmetic number, because the mean of its divisors is an integer number (11788896).

Almost surely, 2^312840096 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 312840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424400256).

312840096 is an abundant number, since it is smaller than the sum of its proper divisors (535960416).

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

312840096 is a wasteful number, since it uses less digits than its factorization.

312840096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 312840096 is about 17687.2862813943. The cubic root of 312840096 is about 678.8504915837.

The spelling of 312840096 in words is "three hundred twelve million, eight hundred forty thousand, ninety-six".