1188800 has 42 divisors (see below), whose sum is σ = 2929128. Its totient is φ = 474880.

The previous prime is 1188787. The next prime is 1188839. The reversal of 1188800 is 88811.

It is an Ulam number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1188800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1229 + ... + 1971.

2^1188800 is an apocalyptic number.

1188800 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 1188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464564).

1188800 is an abundant number, since it is smaller than the sum of its proper divisors (1740328).

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

1188800 is an equidigital number, since it uses as much as digits as its factorization.

1188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 1188800 is about 1090.3210536351. The cubic root of 1188800 is about 105.9342181149.

The spelling of 1188800 in words is "one million, one hundred eighty-eight thousand, eight hundred".