11888000 has 64 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 4748800.

The previous prime is 11887979. The next prime is 11888017. The reversal of 11888000 is 88811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15629 + ... + 16371.

Almost surely, 2^11888000 is an apocalyptic number.

11888000 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 11888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

11888000 is an abundant number, since it is smaller than the sum of its proper divisors (17708320).

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

11888000 is an frugal number, since it uses more digits than its factorization.

11888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 11888000 is about 3447.8979103216. The cubic root of 11888000 is about 228.2283543681.

The spelling of 11888000 in words is "eleven million, eight hundred eighty-eight thousand".