11817696 has 144 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 3283200.

The previous prime is 11817691. The next prime is 11817709. The reversal of 11817696 is 69671811.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381201 + ... + 381231.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 2^11817696 is an apocalyptic number.

11817696 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 11817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11817696 is an abundant number, since it is smaller than the sum of its proper divisors (25050912).

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

11817696 is a wasteful number, since it uses less digits than its factorization.

11817696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11817696 is about 3437.6875948812. The cubic root of 11817696 is about 227.7775608344. Note that the first 3 decimals are identical.

The spelling of 11817696 in words is "eleven million, eight hundred seventeen thousand, six hundred ninety-six".