1090865880 has 384 divisors, whose sum is σ = 4045204800. Its totient is φ = 262766592.

The previous prime is 1090865861. The next prime is 1090865887. The reversal of 1090865880 is 885680901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090865887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11245992 + ... + 11246088.

Almost surely, 2^1090865880 is an apocalyptic number.

1090865880 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 1090865880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022602400).

1090865880 is an abundant number, since it is smaller than the sum of its proper divisors (2954338920).

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

1090865880 is a wasteful number, since it uses less digits than its factorization.

1090865880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1090865880 is about 33028.2588096920. The cubic root of 1090865880 is about 1029.4149063331.

The spelling of 1090865880 in words is "one billion, ninety million, eight hundred sixty-five thousand, eight hundred eighty".