10712664 has 48 divisors (see below), whose sum is σ = 30279600. Its totient is φ = 3415104.

The previous prime is 10712659. The next prime is 10712683. The reversal of 10712664 is 46621701.

10712664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10712664² = 229522339953792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1579 + ... + 4890.

It is an arithmetic number, because the mean of its divisors is an integer number (630825).

Almost surely, 2^10712664 is an apocalyptic number.

It is an amenable number.

10712664 is an abundant number, since it is smaller than the sum of its proper divisors (19566936).

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

10712664 is a wasteful number, since it uses less digits than its factorization.

10712664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10712664 is about 3273.0206232164. The cubic root of 10712664 is about 220.4444458746. Note that the first 5 decimals are identical.

The spelling of 10712664 in words is "ten million, seven hundred twelve thousand, six hundred sixty-four".