11814400 has 120 divisors (see below), whose sum is σ = 31966704. Its totient is φ = 4300800.

The previous prime is 11814353. The next prime is 11814427. The reversal of 11814400 is 441811.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166365 + ... + 166435.

Almost surely, 2^11814400 is an apocalyptic number.

11814400 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 11814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983352).

11814400 is an abundant number, since it is smaller than the sum of its proper divisors (20152304).

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

11814400 is an equidigital number, since it uses as much as digits as its factorization.

11814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11814400 is about 3437.2081694305. The cubic root of 11814400 is about 227.7563828584.

The spelling of 11814400 in words is "eleven million, eight hundred fourteen thousand, four hundred".