1090080 has 72 divisors (see below), whose sum is σ = 3724812. Its totient is φ = 290304.

The previous prime is 1090031. The next prime is 1090097. The reversal of 1090080 is 800901.

It can be written as a sum of positive squares in 2 ways, for example, as 1089936 + 144 = 1044^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 1818.

2^1090080 is an apocalyptic number.

1090080 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 1090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862406).

1090080 is an abundant number, since it is smaller than the sum of its proper divisors (2634732).

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

1090080 is a wasteful number, since it uses less digits than its factorization.

1090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

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

The square root of 1090080 is about 1044.0689632395. The cubic root of 1090080 is about 102.9167643753.

Adding to 1090080 its reverse (800901), we get a palindrome (1890981).

The spelling of 1090080 in words is "one million, ninety thousand, eighty".