1160800 has 36 divisors (see below), whose sum is σ = 2835756. Its totient is φ = 464000.

The previous prime is 1160771. The next prime is 1160807. The reversal of 1160800 is 80611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

2^1160800 is an apocalyptic number.

1160800 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 1160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417878).

1160800 is an abundant number, since it is smaller than the sum of its proper divisors (1674956).

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

1160800 is a wasteful number, since it uses less digits than its factorization.

1160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1160800 is about 1077.4042880925. The cubic root of 1160800 is about 105.0959063262.

It can be divided in two parts, 1 and 160800, that added together give a square (160801 = 401²).

The spelling of 1160800 in words is "one million, one hundred sixty thousand, eight hundred".