11609664 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 3351040.

The previous prime is 11609659. The next prime is 11609669. The reversal of 11609664 is 46690611.

It is an interprime number because it is at equal distance from previous prime (11609659) and next prime (11609669).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11609669) 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, 48457 + ... + 48695.

Almost surely, 2^11609664 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 11609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

11609664 is an abundant number, since it is smaller than the sum of its proper divisors (23503296).

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

11609664 is a wasteful number, since it uses less digits than its factorization.

11609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 11609664 is about 3407.2957018727. The cubic root of 11609664 is about 226.4330850191.

The spelling of 11609664 in words is "eleven million, six hundred nine thousand, six hundred sixty-four".