1099585872 has 360 divisors, whose sum is σ = 4039955712. Its totient is φ = 275788800.

The previous prime is 1099585867. The next prime is 1099585901. The reversal of 1099585872 is 2785859901.

1099585872 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 58 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2405868 + ... + 2406324.

Almost surely, 2^1099585872 is an apocalyptic number.

1099585872 is a gapful number since it is divisible by the number (12) 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 1099585872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019977856).

1099585872 is an abundant number, since it is smaller than the sum of its proper divisors (2940369840).

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

1099585872 is a wasteful number, since it uses less digits than its factorization.

1099585872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The square root of 1099585872 is about 33160.0041013266. The cubic root of 1099585872 is about 1032.1505549234.

The spelling of 1099585872 in words is "one billion, ninety-nine million, five hundred eighty-five thousand, eight hundred seventy-two".