11649568 has 48 divisors (see below), whose sum is σ = 26478144. Its totient is φ = 4942080.

The previous prime is 11649563. The next prime is 11649587. The reversal of 11649568 is 86594611.

It is a self number, because there is not a number n which added to its sum of digits gives 11649568.

It is not an unprimeable number, because it can be changed into a prime (11649563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29146 + ... + 29542.

It is an arithmetic number, because the mean of its divisors is an integer number (551628).

Almost surely, 2^11649568 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 11649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239072).

11649568 is an abundant number, since it is smaller than the sum of its proper divisors (14828576).

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

11649568 is a wasteful number, since it uses less digits than its factorization.

11649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 11649568 is about 3413.1463490451. The cubic root of 11649568 is about 226.6922154977.

The spelling of 11649568 in words is "eleven million, six hundred forty-nine thousand, five hundred sixty-eight".