11989600 has 72 divisors (see below), whose sum is σ = 33466608. Its totient is φ = 4108800.

The previous prime is 11989597. The next prime is 11989657. The reversal of 11989600 is 698911.

11989600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4530 + ... + 6670.

It is an arithmetic number, because the mean of its divisors is an integer number (464814).

Almost surely, 2^11989600 is an apocalyptic number.

11989600 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 11989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733304).

11989600 is an abundant number, since it is smaller than the sum of its proper divisors (21477008).

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

11989600 is a wasteful number, since it uses less digits than its factorization.

11989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 11989600 is about 3462.6001790562. The cubic root of 11989600 is about 228.8766903495.

The spelling of 11989600 in words is "eleven million, nine hundred eighty-nine thousand, six hundred".