11190400 has 96 divisors (see below), whose sum is σ = 29880900. Its totient is φ = 4116480.

The previous prime is 11190383. The next prime is 11190401. The reversal of 11190400 is 409111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 379456 + 10810944 = 616^2 + 3288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11190401) by changing a digit.

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, 41466 + ... + 41734.

Almost surely, 2^11190400 is an apocalyptic number.

11190400 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 11190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940450).

11190400 is an abundant number, since it is smaller than the sum of its proper divisors (18690500).

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

11190400 is a wasteful number, since it uses less digits than its factorization.

11190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11190400 is about 3345.2055243288. The cubic root of 11190400 is about 223.6738450609.

Adding to 11190400 its reverse (409111), we get a palindrome (11599511).

The spelling of 11190400 in words is "eleven million, one hundred ninety thousand, four hundred".