312016896 has 153 divisors (see below), whose sum is σ = 942269419. Its totient is φ = 99483648.

The previous prime is 312016889. The next prime is 312016907. The reversal of 312016896 is 698610213.

The square root of 312016896 is 17664.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312016896.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13565941 + ... + 13565963.

Almost surely, 2^312016896 is an apocalyptic number.

312016896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312016896 is the 17664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312016896

312016896 is an abundant number, since it is smaller than the sum of its proper divisors (630252523).

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

312016896 is an frugal number, since it uses more digits than its factorization.

312016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 312016896 is about 678.2545315247.

Multiplying 312016896 by its sum of digits (36), we get a square (11232608256 = 105984²).

312016896 divided by its sum of digits (36) gives a square (8667136 = 2944²).

The spelling of 312016896 in words is "three hundred twelve million, sixteen thousand, eight hundred ninety-six".