1139200 has 60 divisors (see below), whose sum is σ = 2854170. Its totient is φ = 450560.

The previous prime is 1139197. The next prime is 1139227. The reversal of 1139200 is 29311.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 473344 = 816^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12756 + ... + 12844.

2^1139200 is an apocalyptic number.

1139200 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 1139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427085).

1139200 is an abundant number, since it is smaller than the sum of its proper divisors (1714970).

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

1139200 is an frugal number, since it uses more digits than its factorization.

1139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1139200 is about 1067.3331251301. Note that the first 3 decimals coincide. The cubic root of 1139200 is about 104.4399508487.

The spelling of 1139200 in words is "one million, one hundred thirty-nine thousand, two hundred".