11331864 has 48 divisors (see below), whose sum is σ = 31686720. Its totient is φ = 3654720.

The previous prime is 11331857. The next prime is 11331869. The reversal of 11331864 is 46813311.

It is a super-2 number, since 2×11331864² = 256822283428992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 4770.

It is an arithmetic number, because the mean of its divisors is an integer number (660140).

Almost surely, 2^11331864 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 11331864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843360).

11331864 is an abundant number, since it is smaller than the sum of its proper divisors (20354856).

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

11331864 is a wasteful number, since it uses less digits than its factorization.

11331864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5113 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11331864 is about 3366.2834105286. The cubic root of 11331864 is about 224.6124290742.

The spelling of 11331864 in words is "eleven million, three hundred thirty-one thousand, eight hundred sixty-four".