312620496 has 80 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 101994880.

The previous prime is 312620491. The next prime is 312620501. The reversal of 312620496 is 694026213.

It is an interprime number because it is at equal distance from previous prime (312620491) and next prime (312620501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312620491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521605 + ... + 522203.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^312620496 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 312620496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

312620496 is an abundant number, since it is smaller than the sum of its proper divisors (512326704).

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

312620496 is a wasteful number, since it uses less digits than its factorization.

312620496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 312620496 is about 17681.0773427413. The cubic root of 312620496 is about 678.6916133315.

The spelling of 312620496 in words is "three hundred twelve million, six hundred twenty thousand, four hundred ninety-six".