10631664 has 120 divisors (see below), whose sum is σ = 32555952. Its totient is φ = 3225600.

The previous prime is 10631639. The next prime is 10631683. The reversal of 10631664 is 46613601.

It is a super-2 number, since 2×10631664² = 226064558817792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105214 + ... + 105314.

Almost surely, 2^10631664 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 10631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277976).

10631664 is an abundant number, since it is smaller than the sum of its proper divisors (21924288).

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

10631664 is a wasteful number, since it uses less digits than its factorization.

10631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10631664 is about 3260.6232533060. The cubic root of 10631664 is about 219.8874355284.

The spelling of 10631664 in words is "ten million, six hundred thirty-one thousand, six hundred sixty-four".