1085600880 has 600 divisors, whose sum is σ = 4741384032. Its totient is φ = 228178944.

The previous prime is 1085600849. The next prime is 1085600881. The reversal of 1085600880 is 880065801.

1085600880 is a `hidden beast` number, since 10 + 8 + 560 + 0 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085600881) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 4127629 + ... + 4127891.

Almost surely, 2^1085600880 is an apocalyptic number.

1085600880 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 1085600880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370692016).

1085600880 is an abundant number, since it is smaller than the sum of its proper divisors (3655783152).

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

1085600880 is a wasteful number, since it uses less digits than its factorization.

1085600880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1085600880 is about 32948.4579305314. The cubic root of 1085600880 is about 1027.7560979200.

The spelling of 1085600880 in words is "one billion, eighty-five million, six hundred thousand, eight hundred eighty".