11642568 has 64 divisors (see below), whose sum is σ = 34181760. Its totient is φ = 3234816.

The previous prime is 11642557. The next prime is 11642591. The reversal of 11642568 is 86524611.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5280 + ... + 7152.

It is an arithmetic number, because the mean of its divisors is an integer number (534090).

Almost surely, 2^11642568 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 11642568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090880).

11642568 is an abundant number, since it is smaller than the sum of its proper divisors (22539192).

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

11642568 is a wasteful number, since it uses less digits than its factorization.

11642568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 11642568 is about 3412.1207481565. The cubic root of 11642568 is about 226.6468014117.

The spelling of 11642568 in words is "eleven million, six hundred forty-two thousand, five hundred sixty-eight".