1086811200 has 252 divisors, whose sum is σ = 3920874048. Its totient is φ = 285465600.

The previous prime is 1086811199. The next prime is 1086811217. The reversal of 1086811200 is 21186801.

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 35 ways as a sum of consecutive naturals, for example, 1021869 + ... + 1022931.

It is an arithmetic number, because the mean of its divisors is an integer number (15559024).

Almost surely, 2^1086811200 is an apocalyptic number.

1086811200 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 1086811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960437024).

1086811200 is an abundant number, since it is smaller than the sum of its proper divisors (2834062848).

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

1086811200 is a wasteful number, since it uses less digits than its factorization.

1086811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1086811200 is about 32966.8196828265. The cubic root of 1086811200 is about 1028.1378993094.

The spelling of 1086811200 in words is "one billion, eighty-six million, eight hundred eleven thousand, two hundred".