11664312 has 128 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3153920.

The previous prime is 11664307. The next prime is 11664343. The reversal of 11664312 is 21346611.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103168 + ... + 103280.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 2^11664312 is an apocalyptic number.

11664312 is a gapful number since it is divisible by the number (12) 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 11664312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

11664312 is an abundant number, since it is smaller than the sum of its proper divisors (23794248).

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

11664312 is a wasteful number, since it uses less digits than its factorization.

11664312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 11664312 is about 3415.3055500204. The cubic root of 11664312 is about 226.7878110586.

The spelling of 11664312 in words is "eleven million, six hundred sixty-four thousand, three hundred twelve".