859082112 has 480 divisors, whose sum is σ = 3165723000. Its totient is φ = 229920768.

The previous prime is 859082111. The next prime is 859082113. The reversal of 859082112 is 211280958.

It is an interprime number because it is at equal distance from previous prime (859082111) and next prime (859082113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859082111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652564 + ... + 9652652.

Almost surely, 2^859082112 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 859082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582861500).

859082112 is an abundant number, since it is smaller than the sum of its proper divisors (2306640888).

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

859082112 is a wasteful number, since it uses less digits than its factorization.

859082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 859082112 is about 29310.1025586742. The cubic root of 859082112 is about 950.6300942738.

The spelling of 859082112 in words is "eight hundred fifty-nine million, eighty-two thousand, one hundred twelve".