11689800 has 48 divisors (see below), whose sum is σ = 36240240. Its totient is φ = 3117120.

The previous prime is 11689781. The next prime is 11689801. The reversal of 11689800 is 898611.

11689800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11689801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142 + ... + 10341.

It is an arithmetic number, because the mean of its divisors is an integer number (755005).

Almost surely, 2^11689800 is an apocalyptic number.

11689800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11689800 is an abundant number, since it is smaller than the sum of its proper divisors (24550440).

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

11689800 is a wasteful number, since it uses less digits than its factorization.

11689800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19502 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 11689800 is about 3419.0349515616. The cubic root of 11689800 is about 226.9528775895.

The spelling of 11689800 in words is "eleven million, six hundred eighty-nine thousand, eight hundred".