11538400 has 36 divisors (see below), whose sum is σ = 28170072. Its totient is φ = 4615040.

The previous prime is 11538383. The next prime is 11538403. The reversal of 11538400 is 483511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6412 + ... + 8011.

It is an arithmetic number, because the mean of its divisors is an integer number (782502).

Almost surely, 2^11538400 is an apocalyptic number.

11538400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11538400 is an abundant number, since it is smaller than the sum of its proper divisors (16631672).

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

11538400 is a wasteful number, since it uses less digits than its factorization.

11538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14443 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11538400 is about 3396.8220442054. The cubic root of 11538400 is about 225.9688264622.

The spelling of 11538400 in words is "eleven million, five hundred thirty-eight thousand, four hundred".