11166400 has 84 divisors (see below), whose sum is σ = 31433008. Its totient is φ = 3824640.

The previous prime is 11166377. The next prime is 11166403. The reversal of 11166400 is 466111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11166403) 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, 10702 + ... + 11698.

Almost surely, 2^11166400 is an apocalyptic number.

11166400 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 11166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716504).

11166400 is an abundant number, since it is smaller than the sum of its proper divisors (20266608).

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

11166400 is an equidigital number, since it uses as much as digits as its factorization.

11166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11166400 is about 3341.6163753489. The cubic root of 11166400 is about 223.5138265164.

The spelling of 11166400 in words is "eleven million, one hundred sixty-six thousand, four hundred".