11792564 has 12 divisors (see below), whose sum is σ = 23585184. Its totient is φ = 5053944.

The previous prime is 11792563. The next prime is 11792587. The reversal of 11792564 is 46529711.

11792564 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210554 + ... + 210609.

It is an arithmetic number, because the mean of its divisors is an integer number (1965432).

Almost surely, 2^11792564 is an apocalyptic number.

11792564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11792564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

11792564 is a wasteful number, since it uses less digits than its factorization.

11792564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421174 (or 421172 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 11792564 is about 3434.0302852479. The cubic root of 11792564 is about 227.6159791846.

The spelling of 11792564 in words is "eleven million, seven hundred ninety-two thousand, five hundred sixty-four".