11716400 has 60 divisors (see below), whose sum is σ = 29821752. Its totient is φ = 4408320.

The previous prime is 11716381. The next prime is 11716403. The reversal of 11716400 is 461711.

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 (11716403) 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 11 ways as a sum of consecutive naturals, for example, 5939 + ... + 7661.

Almost surely, 2^11716400 is an apocalyptic number.

11716400 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 11716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910876).

11716400 is an abundant number, since it is smaller than the sum of its proper divisors (18105352).

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

11716400 is a wasteful number, since it uses less digits than its factorization.

11716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 11716400 is about 3422.9227277285. The cubic root of 11716400 is about 227.1248900369.

The spelling of 11716400 in words is "eleven million, seven hundred sixteen thousand, four hundred".