11883664 has 80 divisors (see below), whose sum is σ = 27220480. Its totient is φ = 4976640.

The previous prime is 11883661. The next prime is 11883667. The reversal of 11883664 is 46638811.

It is an interprime number because it is at equal distance from previous prime (11883661) and next prime (11883667).

It is not an unprimeable number, because it can be changed into a prime (11883661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122464 + ... + 122560.

It is an arithmetic number, because the mean of its divisors is an integer number (340256).

Almost surely, 2^11883664 is an apocalyptic number.

11883664 is the 1843-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11883664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610240).

11883664 is an abundant number, since it is smaller than the sum of its proper divisors (15336816).

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

11883664 is a wasteful number, since it uses less digits than its factorization.

11883664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 11883664 is about 3447.2690640564. The cubic root of 11883664 is about 228.2006031769.

The spelling of 11883664 in words is "eleven million, eight hundred eighty-three thousand, six hundred sixty-four".