11865312 has 96 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 3818880.

The previous prime is 11865311. The next prime is 11865319. The reversal of 11865312 is 21356811.

11865312 is a `hidden beast` number, since 1 + 1 + 8 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11865311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26563 + ... + 27005.

It is an arithmetic number, because the mean of its divisors is an integer number (372960).

Almost surely, 2^11865312 is an apocalyptic number.

11865312 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 11865312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

11865312 is an abundant number, since it is smaller than the sum of its proper divisors (23938848).

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

11865312 is a wasteful number, since it uses less digits than its factorization.

11865312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11865312 is about 3444.6062184232. The cubic root of 11865312 is about 228.0830722219.

The spelling of 11865312 in words is "eleven million, eight hundred sixty-five thousand, three hundred twelve".