11090400 has 72 divisors (see below), whose sum is σ = 36107064. Its totient is φ = 2956800.

The previous prime is 11090399. The next prime is 11090411. The reversal of 11090400 is 409011.

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 11090400.

It is a congruent number.

It is an unprimeable number.

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, 90 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (501487).

Almost surely, 2^11090400 is an apocalyptic number.

11090400 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 11090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053532).

11090400 is an abundant number, since it is smaller than the sum of its proper divisors (25016664).

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

11090400 is a wasteful number, since it uses less digits than its factorization.

11090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11090400 is about 3330.2252176092. The cubic root of 11090400 is about 223.0055834566.

Adding to 11090400 its reverse (409011), we get a palindrome (11499411).

The spelling of 11090400 in words is "eleven million, ninety thousand, four hundred".