11915200 has 84 divisors (see below), whose sum is σ = 32031432. Its totient is φ = 4326400.

The previous prime is 11915179. The next prime is 11915237. The reversal of 11915200 is 251911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17262 + ... + 17938.

Almost surely, 2^11915200 is an apocalyptic number.

11915200 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 11915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015716).

11915200 is an abundant number, since it is smaller than the sum of its proper divisors (20116232).

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

11915200 is a wasteful number, since it uses less digits than its factorization.

11915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 11915200 is about 3451.8400889960. The cubic root of 11915200 is about 228.4022855792.

The spelling of 11915200 in words is "eleven million, nine hundred fifteen thousand, two hundred".