11887200 has 216 divisors, whose sum is σ = 45497088. Its totient is φ = 2903040.

The previous prime is 11887181. The next prime is 11887201. The reversal of 11887200 is 278811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93537 + ... + 93663.

Almost surely, 2^11887200 is an apocalyptic number.

11887200 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 11887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

11887200 is an abundant number, since it is smaller than the sum of its proper divisors (33609888).

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

11887200 is a wasteful number, since it uses less digits than its factorization.

11887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11887200 is about 3447.7818956541. The cubic root of 11887200 is about 228.2232347299.

The spelling of 11887200 in words is "eleven million, eight hundred eighty-seven thousand, two hundred".