886872168 has 288 divisors, whose sum is σ = 3068006760. Its totient is φ = 229340160.

The previous prime is 886872163. The next prime is 886872179. The reversal of 886872168 is 861278688.

It can be written as a sum of positive squares in 4 ways, for example, as 139287204 + 747584964 = 11802^2 + 27342^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (886872163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2797546 + ... + 2797862.

Almost surely, 2^886872168 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 886872168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534003380).

886872168 is an abundant number, since it is smaller than the sum of its proper divisors (2181134592).

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

886872168 is a wasteful number, since it uses less digits than its factorization.

886872168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 886872168 is about 29780.3990570979. The cubic root of 886872168 is about 960.7720092104.

The spelling of 886872168 in words is "eight hundred eighty-six million, eight hundred seventy-two thousand, one hundred sixty-eight".