863165160 has 576 divisors, whose sum is σ = 3571102080. Its totient is φ = 184757760.

The previous prime is 863165143. The next prime is 863165161. The reversal of 863165160 is 61561368.

It is a happy number.

863165160 is a `hidden beast` number, since 8 + 631 + 6 + 5 + 16 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (863165161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37528909 + ... + 37528931.

It is an arithmetic number, because the mean of its divisors is an integer number (6199830).

Almost surely, 2^863165160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863165160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785551040).

863165160 is an abundant number, since it is smaller than the sum of its proper divisors (2707936920).

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

863165160 is a wasteful number, since it uses less digits than its factorization.

863165160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 863165160 is about 29379.6725645471. The cubic root of 863165160 is about 952.1337670706.

The spelling of 863165160 in words is "eight hundred sixty-three million, one hundred sixty-five thousand, one hundred sixty".