1080209920 has 80 divisors (see below), whose sum is σ = 2742433848. Its totient is φ = 406650880.

The previous prime is 1080209909. The next prime is 1080209987. The reversal of 1080209920 is 299020801.

It can be written as a sum of positive squares in 4 ways, for example, as 810199296 + 270010624 = 28464^2 + 16432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31110 + ... + 55930.

Almost surely, 2^1080209920 is an apocalyptic number.

1080209920 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 1080209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371216924).

1080209920 is an abundant number, since it is smaller than the sum of its proper divisors (1662223928).

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

1080209920 is an equidigital number, since it uses as much as digits as its factorization.

1080209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24861 (or 24845 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1080209920 is about 32866.5471262194. The cubic root of 1080209920 is about 1026.0520374313.

The spelling of 1080209920 in words is "one billion, eighty million, two hundred nine thousand, nine hundred twenty".