11889600 has 84 divisors (see below), whose sum is σ = 39023544. Its totient is φ = 3169280.

The previous prime is 11889587. The next prime is 11889607. The reversal of 11889600 is 698811.

11889600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11889607) 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, 3562 + ... + 6038.

It is an arithmetic number, because the mean of its divisors is an integer number (464566).

Almost surely, 2^11889600 is an apocalyptic number.

11889600 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 11889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511772).

11889600 is an abundant number, since it is smaller than the sum of its proper divisors (27133944).

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

11889600 is a wasteful number, since it uses less digits than its factorization.

11889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 11889600 is about 3448.1299279465. The cubic root of 11889600 is about 228.2385929557.

The spelling of 11889600 in words is "eleven million, eight hundred eighty-nine thousand, six hundred".