11982400 has 42 divisors (see below), whose sum is σ = 29488130. Its totient is φ = 4792320.

The previous prime is 11982371. The next prime is 11982401. The reversal of 11982400 is 428911.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 11235904 = 864^2 + 3352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11982401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2145 + ... + 5344.

Almost surely, 2^11982400 is an apocalyptic number.

11982400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11982400 is an abundant number, since it is smaller than the sum of its proper divisors (17505730).

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

11982400 is an equidigital number, since it uses as much as digits as its factorization.

11982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11982400 is about 3461.5603418112. The cubic root of 11982400 is about 228.8308661310.

The spelling of 11982400 in words is "eleven million, nine hundred eighty-two thousand, four hundred".