11696800 has 36 divisors (see below), whose sum is σ = 28556766. Its totient is φ = 4678400.

The previous prime is 11696791. The next prime is 11696801. The reversal of 11696800 is 869611.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4276624 + 7420176 = 2068^2 + 2724^2 .

It is not an unprimeable number, because it can be changed into a prime (11696801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6511 + ... + 8110.

Almost surely, 2^11696800 is an apocalyptic number.

11696800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11696800 is an abundant number, since it is smaller than the sum of its proper divisors (16859966).

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

11696800 is a wasteful number, since it uses less digits than its factorization.

11696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 11696800 is about 3420.0584790322. The cubic root of 11696800 is about 226.9981693009.

The spelling of 11696800 in words is "eleven million, six hundred ninety-six thousand, eight hundred".