11844864 has 108 divisors (see below), whose sum is σ = 35154756. Its totient is φ = 3833856.

The previous prime is 11844857. The next prime is 11844881. The reversal of 11844864 is 46844811.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 4875264 = 2640^2 + 2208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 122064 + ... + 122160.

It is an arithmetic number, because the mean of its divisors is an integer number (325507).

Almost surely, 2^11844864 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 11844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577378).

11844864 is an abundant number, since it is smaller than the sum of its proper divisors (23309892).

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

11844864 is an equidigital number, since it uses as much as digits as its factorization.

11844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 11844864 is about 3441.6368198867. The cubic root of 11844864 is about 227.9519751112.

The spelling of 11844864 in words is "eleven million, eight hundred forty-four thousand, eight hundred sixty-four".