1085572800 has 336 divisors, whose sum is σ = 4263928480. Its totient is φ = 267079680.

The previous prime is 1085572777. The next prime is 1085572811. The reversal of 1085572800 is 82755801.

1085572800 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 572 + 80 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 560634 + ... + 562566.

Almost surely, 2^1085572800 is an apocalyptic number.

1085572800 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 1085572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131964240).

1085572800 is an abundant number, since it is smaller than the sum of its proper divisors (3178355680).

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

1085572800 is a wasteful number, since it uses less digits than its factorization.

1085572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1085572800 is about 32948.0318076816. The cubic root of 1085572800 is about 1027.7472365786.

The spelling of 1085572800 in words is "one billion, eighty-five million, five hundred seventy-two thousand, eight hundred".