859261312 has 128 divisors (see below), whose sum is σ = 2138572800. Its totient is φ = 334817280.

The previous prime is 859261289. The next prime is 859261321. The reversal of 859261312 is 213162958.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×859261312² = 1476660004599922688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826489 + ... + 827527.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^859261312 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 859261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

859261312 is an abundant number, since it is smaller than the sum of its proper divisors (1279311488).

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

859261312 is a wasteful number, since it uses less digits than its factorization.

859261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 859261312 is about 29313.1593657183. The cubic root of 859261312 is about 950.6961884872.

The spelling of 859261312 in words is "eight hundred fifty-nine million, two hundred sixty-one thousand, three hundred twelve".