1085644800 has 504 divisors, whose sum is σ = 4225503360. Its totient is φ = 265420800.

The previous prime is 1085644759. The next prime is 1085644811. The reversal of 1085644800 is 84465801.

1085644800 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 644 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 35020785 + ... + 35020815.

Almost surely, 2^1085644800 is an apocalyptic number.

1085644800 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 1085644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112751680).

1085644800 is an abundant number, since it is smaller than the sum of its proper divisors (3139858560).

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

1085644800 is a wasteful number, since it uses less digits than its factorization.

1085644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1085644800 is about 32949.1244193226. The cubic root of 1085644800 is about 1027.7699576604.

The spelling of 1085644800 in words is "one billion, eighty-five million, six hundred forty-four thousand, eight hundred".