1089461040 has 80 divisors (see below), whose sum is σ = 3385283328. Its totient is φ = 289838848.

The previous prime is 1089461027. The next prime is 1089461047. The reversal of 1089461040 is 401649801.

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

It is a junction number, because it is equal to n+sod(n) for n = 1089460992 and 1089461010.

It is not an unprimeable number, because it can be changed into a prime (1089461047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101197 + ... + 111443.

Almost surely, 2^1089461040 is an apocalyptic number.

1089461040 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 1089461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692641664).

1089461040 is an abundant number, since it is smaller than the sum of its proper divisors (2295822288).

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

1089461040 is a wasteful number, since it uses less digits than its factorization.

1089461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1089461040 is about 33006.9847153599. The cubic root of 1089461040 is about 1028.9728157859.

The spelling of 1089461040 in words is "one billion, eighty-nine million, four hundred sixty-one thousand, forty".