11804800 has 192 divisors, whose sum is σ = 36426240. Its totient is φ = 3686400.

The previous prime is 11804791. The next prime is 11804801. The reversal of 11804800 is 840811.

It is not an unprimeable number, because it can be changed into a prime (11804801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380785 + ... + 380815.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 2^11804800 is an apocalyptic number.

11804800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11804800 is the 1984-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11804800 is an abundant number, since it is smaller than the sum of its proper divisors (24621440).

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

11804800 is a wasteful number, since it uses less digits than its factorization.

11804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 11804800 is about 3435.8114034388. The cubic root of 11804800 is about 227.6946769808.

The spelling of 11804800 in words is "eleven million, eight hundred four thousand, eight hundred".