11980800 has 234 divisors, whose sum is σ = 46213622. Its totient is φ = 2949120.

The previous prime is 11980783. The next prime is 11980807. The reversal of 11980800 is 808911.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 11943936 = 192^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (234).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921594 + ... + 921606.

Almost surely, 2^11980800 is an apocalyptic number.

11980800 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 11980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106811).

11980800 is an abundant number, since it is smaller than the sum of its proper divisors (34232822).

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

11980800 is a wasteful number, since it uses less digits than its factorization.

11980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11980800 is about 3461.3292244454. The cubic root of 11980800 is about 228.8206804787.

The spelling of 11980800 in words is "eleven million, nine hundred eighty thousand, eight hundred".