31057664 has 72 divisors (see below), whose sum is σ = 69536880. Its totient is φ = 13721600.

The previous prime is 31057651. The next prime is 31057681. The reversal of 31057664 is 46675013.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31057664.

It is a congruent number.

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, 115322 + ... + 115590.

It is an arithmetic number, because the mean of its divisors is an integer number (965790).

Almost surely, 2^31057664 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 31057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34768440).

31057664 is an abundant number, since it is smaller than the sum of its proper divisors (38479216).

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

31057664 is a wasteful number, since it uses less digits than its factorization.

31057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 31057664 is about 5572.9403370214. The cubic root of 31057664 is about 314.3327237041.

The spelling of 31057664 in words is "thirty-one million, fifty-seven thousand, six hundred sixty-four".