1086186160 has 80 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 428702720.

The previous prime is 1086186137. The next prime is 1086186161. The reversal of 1086186160 is 616816801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1086186161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492405 + ... + 3492715.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^1086186160 is an apocalyptic number.

1086186160 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 1086186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

1086186160 is an abundant number, since it is smaller than the sum of its proper divisors (1473025040).

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

1086186160 is a wasteful number, since it uses less digits than its factorization.

1086186160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 1086186160 is about 32957.3384847745. The cubic root of 1086186160 is about 1027.9407627854.

The spelling of 1086186160 in words is "one billion, eighty-six million, one hundred eighty-six thousand, one hundred sixty".