11642544 has 60 divisors (see below), whose sum is σ = 32817096. Its totient is φ = 3853056.

The previous prime is 11642537. The next prime is 11642549. The reversal of 11642544 is 44524611.

11642544 is a `hidden beast` number, since 11 + 642 + 5 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11642549) 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 11 ways as a sum of consecutive naturals, for example, 33379 + ... + 33725.

Almost surely, 2^11642544 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 11642544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16408548).

11642544 is an abundant number, since it is smaller than the sum of its proper divisors (21174552).

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

11642544 is a wasteful number, since it uses less digits than its factorization.

11642544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 585 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 11642544 is about 3412.1172312803. The cubic root of 11642544 is about 226.6466456749.

The spelling of 11642544 in words is "eleven million, six hundred forty-two thousand, five hundred forty-four".