10713664 has 56 divisors (see below), whose sum is σ = 23327360. Its totient is φ = 4852224.

The previous prime is 10713641. The next prime is 10713667. The reversal of 10713664 is 46631701.

It is a super-2 number, since 2×10713664² = 229565192609792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10713667) 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, 65647 + ... + 65809.

It is an arithmetic number, because the mean of its divisors is an integer number (416560).

Almost surely, 2^10713664 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 10713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663680).

10713664 is an abundant number, since it is smaller than the sum of its proper divisors (12613696).

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

10713664 is a wasteful number, since it uses less digits than its factorization.

10713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10713664 is about 3273.1733837363. The cubic root of 10713664 is about 220.4513049711.

The spelling of 10713664 in words is "ten million, seven hundred thirteen thousand, six hundred sixty-four".