11676564 has 72 divisors (see below), whose sum is σ = 31871840. Its totient is φ = 3592512.

The previous prime is 11676563. The next prime is 11676593. The reversal of 11676564 is 46567611.

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 (11676563) 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, 29214 + ... + 29610.

Almost surely, 2^11676564 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 11676564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935920).

11676564 is an abundant number, since it is smaller than the sum of its proper divisors (20195276).

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

11676564 is a wasteful number, since it uses less digits than its factorization.

11676564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 464 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 11676564 is about 3417.0987694241. The cubic root of 11676564 is about 226.8671879923.

Subtracting from 11676564 its sum of digits (36), we obtain a triangular number (11676528 = T₄₈₃₂).

The spelling of 11676564 in words is "eleven million, six hundred seventy-six thousand, five hundred sixty-four".