1089070920 has 320 divisors, whose sum is σ = 4321152000. Its totient is φ = 240744960.

The previous prime is 1089070891. The next prime is 1089070943. The reversal of 1089070920 is 290709801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702306 + ... + 703854.

It is an arithmetic number, because the mean of its divisors is an integer number (13503600).

Almost surely, 2^1089070920 is an apocalyptic number.

1089070920 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 1089070920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160576000).

1089070920 is an abundant number, since it is smaller than the sum of its proper divisors (3232081080).

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

1089070920 is a wasteful number, since it uses less digits than its factorization.

1089070920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1089070920 is about 33001.0745279604. The cubic root of 1089070920 is about 1028.8499811046.

It can be divided in two parts, 10890 and 70920, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 1089070920 in words is "one billion, eighty-nine million, seventy thousand, nine hundred twenty".