863561160 has 192 divisors, whose sum is σ = 3499217280. Its totient is φ = 179435520.

The previous prime is 863561117. The next prime is 863561183. The reversal of 863561160 is 61165368.

It is a happy number.

863561160 is a `hidden beast` number, since 8 + 6 + 35 + 611 + 6 + 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, 12144 + ... + 43296.

It is an arithmetic number, because the mean of its divisors is an integer number (18225090).

Almost surely, 2^863561160 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 863561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749608640).

863561160 is an abundant number, since it is smaller than the sum of its proper divisors (2635656120).

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

863561160 is a wasteful number, since it uses less digits than its factorization.

863561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31188 (or 31181 counting only the distinct ones).

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

The square root of 863561160 is about 29386.4111452896. The cubic root of 863561160 is about 952.2793503819.

The spelling of 863561160 in words is "eight hundred sixty-three million, five hundred sixty-one thousand, one hundred sixty".