11320400 has 120 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 3571200.

The previous prime is 11320369. The next prime is 11320403. The reversal of 11320400 is 402311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320403) 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 23 ways as a sum of consecutive naturals, for example, 36245 + ... + 36555.

Almost surely, 2^11320400 is an apocalyptic number.

11320400 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 11320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790592).

11320400 is an abundant number, since it is smaller than the sum of its proper divisors (22260784).

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

11320400 is a wasteful number, since it uses less digits than its factorization.

11320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11320400 is about 3364.5802115569. The cubic root of 11320400 is about 224.5366596714.

Adding to 11320400 its reverse (402311), we get a palindrome (11722711).

The spelling of 11320400 in words is "eleven million, three hundred twenty thousand, four hundred".