11806400 has 84 divisors (see below), whose sum is σ = 29858208. Its totient is φ = 4592640.

The previous prime is 11806397. The next prime is 11806409. The reversal of 11806400 is 460811.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11806409) 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, 75122 + ... + 75278.

Almost surely, 2^11806400 is an apocalyptic number.

11806400 is a gapful number since it is divisible by the number (10) 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 11806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929104).

11806400 is an abundant number, since it is smaller than the sum of its proper divisors (18051808).

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

11806400 is a wasteful number, since it uses less digits than its factorization.

11806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11806400 is about 3436.0442372007. The cubic root of 11806400 is about 227.7049636164.

The spelling of 11806400 in words is "eleven million, eight hundred six thousand, four hundred".