859616016 has 120 divisors (see below), whose sum is σ = 2735316000. Its totient is φ = 231146496.

The previous prime is 859615969. The next prime is 859616029. The reversal of 859616016 is 610616958.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29235 + ... + 50733.

It is an arithmetic number, because the mean of its divisors is an integer number (22794300).

Almost surely, 2^859616016 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 859616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367658000).

859616016 is an abundant number, since it is smaller than the sum of its proper divisors (1875699984).

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

859616016 is a wasteful number, since it uses less digits than its factorization.

859616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21541 (or 21528 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 859616016 is about 29319.2089934227. The cubic root of 859616016 is about 950.8269866297.

The spelling of 859616016 in words is "eight hundred fifty-nine million, six hundred sixteen thousand, sixteen".