859972168 has 48 divisors (see below), whose sum is σ = 1776132540. Its totient is φ = 390065280.

The previous prime is 859972151. The next prime is 859972181. The reversal of 859972168 is 861279958.

It can be written as a sum of positive squares in 2 ways, for example, as 831860964 + 28111204 = 28842^2 + 5302^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 848430 + ... + 849442.

Almost surely, 2^859972168 is an apocalyptic number.

859972168 is a gapful number since it is divisible by the number (88) 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 859972168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888066270).

859972168 is an abundant number, since it is smaller than the sum of its proper divisors (916160372).

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

859972168 is a wasteful number, since it uses less digits than its factorization.

859972168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1903 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The square root of 859972168 is about 29325.2820617296. The cubic root of 859972168 is about 950.9582825299.

The spelling of 859972168 in words is "eight hundred fifty-nine million, nine hundred seventy-two thousand, one hundred sixty-eight".