1089631680 has 112 divisors (see below), whose sum is σ = 3478097184. Its totient is φ = 289013760.

The previous prime is 1089631657. The next prime is 1089631709. The reversal of 1089631680 is 861369801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182340 + ... + 188220.

Almost surely, 2^1089631680 is an apocalyptic number.

1089631680 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 1089631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739048592).

1089631680 is an abundant number, since it is smaller than the sum of its proper divisors (2388465504).

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

1089631680 is a wasteful number, since it uses less digits than its factorization.

1089631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1089631680 is about 33009.5695215796. The cubic root of 1089631680 is about 1029.0265349335.

The spelling of 1089631680 in words is "one billion, eighty-nine million, six hundred thirty-one thousand, six hundred eighty".