10865664 has 110 divisors (see below), whose sum is σ = 32694684. Its totient is φ = 3594240.

The previous prime is 10865641. The next prime is 10865671. The reversal of 10865664 is 46656801.

10865664 is a `hidden beast` number, since 10 + 86 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82879 + ... + 83009.

Almost surely, 2^10865664 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 10865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347342).

10865664 is an abundant number, since it is smaller than the sum of its proper divisors (21829020).

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

10865664 is an equidigital number, since it uses as much as digits as its factorization.

10865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 10865664 is about 3296.3106649708. The cubic root of 10865664 is about 221.4889633004.

The spelling of 10865664 in words is "ten million, eight hundred sixty-five thousand, six hundred sixty-four".