11520400 has 60 divisors (see below), whose sum is σ = 28091952. Its totient is φ = 4539520.

The previous prime is 11520391. The next prime is 11520409. The reversal of 11520400 is 402511.

11520400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11520391) and next prime (11520409).

It is not an unprimeable number, because it can be changed into a prime (11520409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33027 + ... + 33373.

Almost surely, 2^11520400 is an apocalyptic number.

11520400 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 11520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045976).

11520400 is an abundant number, since it is smaller than the sum of its proper divisors (16571552).

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

11520400 is a wasteful number, since it uses less digits than its factorization.

11520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11520400 is about 3394.1714747490. The cubic root of 11520400 is about 225.8512608902.

Adding to 11520400 its reverse (402511), we get a palindrome (11922911).

The spelling of 11520400 in words is "eleven million, five hundred twenty thousand, four hundred".