1085852160 has 120 divisors (see below), whose sum is σ = 3760691220. Its totient is φ = 289554432.

The previous prime is 1085852113. The next prime is 1085852177. The reversal of 1085852160 is 612585801.

1085852160 is a `hidden beast` number, since 10 + 8 + 585 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 877107456 + 208744704 = 29616^2 + 14448^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 525 + ... + 46604.

Almost surely, 2^1085852160 is an apocalyptic number.

1085852160 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 1085852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880345610).

1085852160 is an abundant number, since it is smaller than the sum of its proper divisors (2674839060).

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

1085852160 is an equidigital number, since it uses as much as digits as its factorization.

1085852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47158 (or 47139 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1085852160 is about 32952.2709384346. The cubic root of 1085852160 is about 1027.8353887637.

The spelling of 1085852160 in words is "one billion, eighty-five million, eight hundred fifty-two thousand, one hundred sixty".