312166656 has 144 divisors (see below), whose sum is σ = 972126400. Its totient is φ = 98537472.

The previous prime is 312166619. The next prime is 312166663. The reversal of 312166656 is 656661213.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×312166656² = 194896042236444672, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 312166656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130140 + ... + 132516.

Almost surely, 2^312166656 is an apocalyptic number.

312166656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486063200).

312166656 is an abundant number, since it is smaller than the sum of its proper divisors (659959744).

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

312166656 is a wasteful number, since it uses less digits than its factorization.

312166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2401 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 312166656 is about 17668.2386218887. The cubic root of 312166656 is about 678.3630290164.

The spelling of 312166656 in words is "three hundred twelve million, one hundred sixty-six thousand, six hundred fifty-six".