312501664 has 48 divisors (see below), whose sum is σ = 651581280. Its totient is φ = 147121920.

The previous prime is 312501653. The next prime is 312501703. The reversal of 312501664 is 466105213.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103699 + ... + 106669.

It is an arithmetic number, because the mean of its divisors is an integer number (13574610).

Almost surely, 2^312501664 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 312501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325790640).

312501664 is an abundant number, since it is smaller than the sum of its proper divisors (339079616).

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

312501664 is a wasteful number, since it uses less digits than its factorization.

312501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 312501664 is about 17677.7165946284. The cubic root of 312501664 is about 678.6056086242.

Adding to 312501664 its reverse (466105213), we get a palindrome (778606877).

The spelling of 312501664 in words is "three hundred twelve million, five hundred one thousand, six hundred sixty-four".