11775816 has 96 divisors (see below), whose sum is σ = 35904960. Its totient is φ = 3459456.

The previous prime is 11775809. The next prime is 11775817. The reversal of 11775816 is 61857711.

It is a happy number.

11775816 is a `hidden beast` number, since 1 + 1 + 77 + 581 + 6 = 666.

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

Its product of digits (11760) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (11775817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21255 + ... + 21801.

It is an arithmetic number, because the mean of its divisors is an integer number (374010).

Almost surely, 2^11775816 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 11775816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952480).

11775816 is an abundant number, since it is smaller than the sum of its proper divisors (24129144).

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

11775816 is a wasteful number, since it uses less digits than its factorization.

11775816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its digits is 11760, while the sum is 36.

The square root of 11775816 is about 3431.5908847064. The cubic root of 11775816 is about 227.5081734374.

The spelling of 11775816 in words is "eleven million, seven hundred seventy-five thousand, eight hundred sixteen".