11651664 has 80 divisors (see below), whose sum is σ = 32408640. Its totient is φ = 3594240.

The previous prime is 11651659. The next prime is 11651677. The reversal of 11651664 is 46615611.

It is a super-2 number, since 2×11651664² = 271522547937792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88879 + ... + 89009.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^11651664 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 11651664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204320).

11651664 is an abundant number, since it is smaller than the sum of its proper divisors (20756976).

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

11651664 is a wasteful number, since it uses less digits than its factorization.

11651664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 11651664 is about 3413.4533833055. The cubic root of 11651664 is about 226.7058102333.

It can be divided in two parts, 1165166 and 4, that multiplied together give a palindrome (4660664).

The spelling of 11651664 in words is "eleven million, six hundred fifty-one thousand, six hundred sixty-four".