11664352 has 72 divisors (see below), whose sum is σ = 27492696. Its totient is φ = 4854528.

The previous prime is 11664343. The next prime is 11664353. The reversal of 11664352 is 25346611.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (4320) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 11664352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67338 + ... + 67510.

It is an arithmetic number, because the mean of its divisors is an integer number (381843).

Almost surely, 2^11664352 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 11664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746348).

11664352 is an abundant number, since it is smaller than the sum of its proper divisors (15828344).

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

11664352 is a wasteful number, since it uses less digits than its factorization.

11664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 11664352 is about 3415.3114060068. The cubic root of 11664352 is about 226.7880702967.

The spelling of 11664352 in words is "eleven million, six hundred sixty-four thousand, three hundred fifty-two".