11805696 has 176 divisors, whose sum is σ = 40612480. Its totient is φ = 3317760.

The previous prime is 11805641. The next prime is 11805709. The reversal of 11805696 is 69650811.

11805696 is a `hidden beast` number, since 11 + 80 + 569 + 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 11805696.

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, 193506 + ... + 193566.

Almost surely, 2^11805696 is an apocalyptic number.

11805696 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 11805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306240).

11805696 is an abundant number, since it is smaller than the sum of its proper divisors (28806784).

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

11805696 is an equidigital number, since it uses as much as digits as its factorization.

11805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11805696 is about 3435.9417922893. The cubic root of 11805696 is about 227.7004376112.

The spelling of 11805696 in words is "eleven million, eight hundred five thousand, six hundred ninety-six".