11855376 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3646080.

The previous prime is 11855359. The next prime is 11855381. The reversal of 11855376 is 67355811.

11855376 is a `hidden beast` number, since 118 + 5 + 537 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11855376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4561 + ... + 6671.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^11855376 is an apocalyptic number.

11855376 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 11855376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

11855376 is an abundant number, since it is smaller than the sum of its proper divisors (24808944).

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

11855376 is a wasteful number, since it uses less digits than its factorization.

11855376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2129 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 11855376 is about 3443.1636615183. The cubic root of 11855376 is about 228.0193889329.

It can be divided in two parts, 1185 and 5376, that added together give a 8-th power (6561 = 3⁸).

The spelling of 11855376 in words is "eleven million, eight hundred fifty-five thousand, three hundred seventy-six".