1085186160 has 200 divisors, whose sum is σ = 3991124016. Its totient is φ = 272332800.

The previous prime is 1085186153. The next prime is 1085186191. The reversal of 1085186160 is 616815801.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105235 + ... + 115085.

Almost surely, 2^1085186160 is an apocalyptic number.

1085186160 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 1085186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995562008).

1085186160 is an abundant number, since it is smaller than the sum of its proper divisors (2905937856).

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

1085186160 is a wasteful number, since it uses less digits than its factorization.

1085186160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1085186160 is about 32942.1638633530. The cubic root of 1085186160 is about 1027.6252071834.

The spelling of 1085186160 in words is "one billion, eighty-five million, one hundred eighty-six thousand, one hundred sixty".