1085633400 has 96 divisors (see below), whose sum is σ = 3542630400. Its totient is φ = 274262400.

The previous prime is 1085633399. The next prime is 1085633411. The reversal of 1085633400 is 43365801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36216 + ... + 59015.

It is an arithmetic number, because the mean of its divisors is an integer number (36902400).

Almost surely, 2^1085633400 is an apocalyptic number.

1085633400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085633400 is an abundant number, since it is smaller than the sum of its proper divisors (2456997000).

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

1085633400 is a wasteful number, since it uses less digits than its factorization.

1085633400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95269 (or 95260 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1085633400 is about 32948.9514248936. The cubic root of 1085633400 is about 1027.7663602227.

The spelling of 1085633400 in words is "one billion, eighty-five million, six hundred thirty-three thousand, four hundred".