11126400 has 192 divisors, whose sum is σ = 39208800. Its totient is φ = 2764800.

The previous prime is 11126389. The next prime is 11126407. The reversal of 11126400 is 462111.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11126400.

It is not an unprimeable number, because it can be changed into a prime (11126407) 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, 182370 + ... + 182430.

Almost surely, 2^11126400 is an apocalyptic number.

11126400 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 11126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604400).

11126400 is an abundant number, since it is smaller than the sum of its proper divisors (28082400).

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

11126400 is a wasteful number, since it uses less digits than its factorization.

11126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11126400 is about 3335.6258783023. The cubic root of 11126400 is about 223.2466186458.

Adding to 11126400 its reverse (462111), we get a palindrome (11588511).

The spelling of 11126400 in words is "eleven million, one hundred twenty-six thousand, four hundred".