1085817600 has 324 divisors, whose sum is σ = 4438268016. Its totient is φ = 248094720.

The previous prime is 1085817599. The next prime is 1085817617. The reversal of 1085817600 is 67185801.

1085817600 is a `hidden beast` number, since 1 + 0 + 8 + 581 + 76 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 401854 + ... + 404546.

Almost surely, 2^1085817600 is an apocalyptic number.

1085817600 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 1085817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219134008).

1085817600 is an abundant number, since it is smaller than the sum of its proper divisors (3352450416).

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

1085817600 is a wasteful number, since it uses less digits than its factorization.

1085817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1085817600 is about 32951.7465394476. The cubic root of 1085817600 is about 1027.8244841583.

The spelling of 1085817600 in words is "one billion, eighty-five million, eight hundred seventeen thousand, six hundred".