11766656 has 64 divisors (see below), whose sum is σ = 26181360. Its totient is φ = 5222400.

The previous prime is 11766647. The next prime is 11766697. The reversal of 11766656 is 65666711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85820 + ... + 85956.

Almost surely, 2^11766656 is an apocalyptic number.

11766656 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 11766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090680).

11766656 is an abundant number, since it is smaller than the sum of its proper divisors (14414704).

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

11766656 is a wasteful number, since it uses less digits than its factorization.

11766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 11766656 is about 3430.2559671255. The cubic root of 11766656 is about 227.4491678887.

It can be divided in two parts, 11 and 766656, that multiplied together give a square (8433216 = 2904²).

The spelling of 11766656 in words is "eleven million, seven hundred sixty-six thousand, six hundred fifty-six".