1085884200 has 144 divisors (see below), whose sum is σ = 3838816800. Its totient is φ = 274320000.

The previous prime is 1085884187. The next prime is 1085884223. The reversal of 1085884200 is 24885801.

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, 18325 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2^1085884200 is an apocalyptic number.

1085884200 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 1085884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400).

1085884200 is an abundant number, since it is smaller than the sum of its proper divisors (2752932600).

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

1085884200 is a wasteful number, since it uses less digits than its factorization.

1085884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31792 (or 31780 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1085884200 is about 32952.7570925408. The cubic root of 1085884200 is about 1027.8454980349.

The spelling of 1085884200 in words is "one billion, eighty-five million, eight hundred eighty-four thousand, two hundred".