11662656 has 112 divisors (see below), whose sum is σ = 34137600. Its totient is φ = 3497472.

The previous prime is 11662639. The next prime is 11662657. The reversal of 11662656 is 65626611.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662657) 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 15 ways as a sum of consecutive naturals, for example, 83835 + ... + 83973.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 2^11662656 is an apocalyptic number.

11662656 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 11662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).

11662656 is an abundant number, since it is smaller than the sum of its proper divisors (22474944).

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

11662656 is a wasteful number, since it uses less digits than its factorization.

11662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 11662656 is about 3415.0631033701. The cubic root of 11662656 is about 226.7770780812. Note that the first 3 decimals are identical.

The spelling of 11662656 in words is "eleven million, six hundred sixty-two thousand, six hundred fifty-six".