10856664 has 96 divisors (see below), whose sum is σ = 36210720. Its totient is φ = 2861568.

The previous prime is 10856653. The next prime is 10856669. The reversal of 10856664 is 46665801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10856669) by changing a digit.

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, 5724 + ... + 7380.

It is an arithmetic number, because the mean of its divisors is an integer number (377195).

Almost surely, 2^10856664 is an apocalyptic number.

10856664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10856664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105360).

10856664 is an abundant number, since it is smaller than the sum of its proper divisors (25354056).

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

10856664 is a wasteful number, since it uses less digits than its factorization.

10856664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1682 counting only the distinct ones).

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

The square root of 10856664 is about 3294.9452195750. The cubic root of 10856664 is about 221.4277935060.

The spelling of 10856664 in words is "ten million, eight hundred fifty-six thousand, six hundred sixty-four".