11664816 has 40 divisors (see below), whose sum is σ = 30556080. Its totient is φ = 3833856.

The previous prime is 11664811. The next prime is 11664827. The reversal of 11664816 is 61846611.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11664811) 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, 1840 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (763902).

Almost surely, 2^11664816 is an apocalyptic number.

11664816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278040).

11664816 is an abundant number, since it is smaller than the sum of its proper divisors (18891264).

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

11664816 is a wasteful number, since it uses less digits than its factorization.

11664816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3407 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 11664816 is about 3415.3793347153. The cubic root of 11664816 is about 226.7910774152.

The spelling of 11664816 in words is "eleven million, six hundred sixty-four thousand, eight hundred sixteen".