11318400 has 192 divisors, whose sum is σ = 41738400. Its totient is φ = 2995200.

The previous prime is 11318389. The next prime is 11318401. The reversal of 11318400 is 481311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11318401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86335 + ... + 86465.

Almost surely, 2^11318400 is an apocalyptic number.

11318400 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 11318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869200).

11318400 is an abundant number, since it is smaller than the sum of its proper divisors (30420000).

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

11318400 is a wasteful number, since it uses less digits than its factorization.

11318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11318400 is about 3364.2829845303. The cubic root of 11318400 is about 224.5234357639.

Adding to 11318400 its reverse (481311), we get a palindrome (11799711).

The spelling of 11318400 in words is "eleven million, three hundred eighteen thousand, four hundred".