10468656 has 80 divisors (see below), whose sum is σ = 32795520. Its totient is φ = 3170880.

The previous prime is 10468631. The next prime is 10468663. The reversal of 10468656 is 65686401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10468656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3651 + ... + 5853.

It is an arithmetic number, because the mean of its divisors is an integer number (409944).

Almost surely, 2^10468656 is an apocalyptic number.

10468656 is a gapful number since it is divisible by the number (16) 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 10468656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397760).

10468656 is an abundant number, since it is smaller than the sum of its proper divisors (22326864).

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

10468656 is a wasteful number, since it uses less digits than its factorization.

10468656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2219 counting only the distinct ones).

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

The square root of 10468656 is about 3235.5302502063. The cubic root of 10468656 is about 218.7578483171.

The spelling of 10468656 in words is "ten million, four hundred sixty-eight thousand, six hundred fifty-six".