31825664 has 72 divisors (see below), whose sum is σ = 69880272. Its totient is φ = 14376960.

The previous prime is 31825643. The next prime is 31825669. The reversal of 31825664 is 46652813.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31825669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242879 + ... + 243009.

Almost surely, 2^31825664 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 31825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34940136).

31825664 is an abundant number, since it is smaller than the sum of its proper divisors (38054608).

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

31825664 is a wasteful number, since it uses less digits than its factorization.

31825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 31825664 is about 5641.4239337245. The cubic root of 31825664 is about 316.9026161471.

The spelling of 31825664 in words is "thirty-one million, eight hundred twenty-five thousand, six hundred sixty-four".