10766556 has 72 divisors (see below), whose sum is σ = 28632240. Its totient is φ = 3407616.

The previous prime is 10766543. The next prime is 10766557. The reversal of 10766556 is 65566701.

It is a happy number.

It is a super-2 number, since 2×10766556² = 231837456202272, which contains 22 as substring.

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 10766556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78520 + ... + 78656.

It is an arithmetic number, because the mean of its divisors is an integer number (397670).

Almost surely, 2^10766556 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 10766556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316120).

10766556 is an abundant number, since it is smaller than the sum of its proper divisors (17865684).

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

10766556 is a wasteful number, since it uses less digits than its factorization.

10766556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 10766556 is about 3281.2430571355. The cubic root of 10766556 is about 220.8134896453.

The spelling of 10766556 in words is "ten million, seven hundred sixty-six thousand, five hundred fifty-six".