312283664 has 100 divisors (see below), whose sum is σ = 771059280. Its totient is φ = 121504320.

The previous prime is 312283661. The next prime is 312283669. The reversal of 312283664 is 466382213.

It is not an unprimeable number, because it can be changed into a prime (312283661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422207 + ... + 422945.

Almost surely, 2^312283664 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 312283664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385529640).

312283664 is an abundant number, since it is smaller than the sum of its proper divisors (458775616).

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

312283664 is an equidigital number, since it uses as much as digits as its factorization.

312283664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 759 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 312283664 is about 17671.5495642006. The cubic root of 312283664 is about 678.4477743330.

The spelling of 312283664 in words is "three hundred twelve million, two hundred eighty-three thousand, six hundred sixty-four".