312268680 has 48 divisors (see below), whose sum is σ = 1014874380. Its totient is φ = 83271552.

The previous prime is 312268657. The next prime is 312268703. The reversal of 312268680 is 86862213.

312268680 is a `hidden beast` number, since 312 + 268 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (312268657) and next prime (312268703).

It can be written as a sum of positive squares in 2 ways, for example, as 311381316 + 887364 = 17646^2 + 942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433347 + ... + 434066.

Almost surely, 2^312268680 is an apocalyptic number.

312268680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312268680 is an abundant number, since it is smaller than the sum of its proper divisors (702605700).

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

312268680 is a wasteful number, since it uses less digits than its factorization.

312268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867430 (or 867423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 312268680 is about 17671.1256008212. The cubic root of 312268680 is about 678.4369230619.

The spelling of 312268680 in words is "three hundred twelve million, two hundred sixty-eight thousand, six hundred eighty".