1085809200 has 120 divisors (see below), whose sum is σ = 3975126528. Its totient is φ = 248183040.

The previous prime is 1085809189. The next prime is 1085809201. The reversal of 1085809200 is 29085801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1085809201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56232 + ... + 73031.

Almost surely, 2^1085809200 is an apocalyptic number.

1085809200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085809200 is an abundant number, since it is smaller than the sum of its proper divisors (2889317328).

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

1085809200 is a wasteful number, since it uses less digits than its factorization.

1085809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129291 (or 129280 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1085809200 is about 32951.6190800998. The cubic root of 1085809200 is about 1027.8218336984.

The spelling of 1085809200 in words is "one billion, eighty-five million, eight hundred nine thousand, two hundred".