1085116800 has 384 divisors, whose sum is σ = 3881671200. Its totient is φ = 265420800.

The previous prime is 1085116789. The next prime is 1085116807. The reversal of 1085116800 is 86115801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085116807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9955146 + ... + 9955254.

Almost surely, 2^1085116800 is an apocalyptic number.

1085116800 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 1085116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940835600).

1085116800 is an abundant number, since it is smaller than the sum of its proper divisors (2796554400).

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

1085116800 is a wasteful number, since it uses less digits than its factorization.

1085116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 1085116800 is about 32941.1110923721. Note that the first 3 decimals coincide. The cubic root of 1085116800 is about 1027.6033130588.

Subtracting from 1085116800 its reverse (86115801), we obtain a palindrome (999000999).

The spelling of 1085116800 in words is "one billion, eighty-five million, one hundred sixteen thousand, eight hundred".