1090800 has 120 divisors (see below), whose sum is σ = 3920880. Its totient is φ = 288000.

The previous prime is 1090799. The next prime is 1090807. The reversal of 1090800 is 80901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10750 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (32674).

2^1090800 is an apocalyptic number.

1090800 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 1090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960440).

1090800 is an abundant number, since it is smaller than the sum of its proper divisors (2830080).

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

1090800 is a wasteful number, since it uses less digits than its factorization.

1090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1090800 is about 1044.4137111318. The cubic root of 1090800 is about 102.9394182973.

The spelling of 1090800 in words is "one million, ninety thousand, eight hundred".