859001220 has 384 divisors, whose sum is σ = 3389460480. Its totient is φ = 175426560.

The previous prime is 859001219. The next prime is 859001233. The reversal of 859001220 is 22100958.

It is a super-2 number, since 2×859001220² = 1475766191922976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 3035199 + ... + 3035481.

It is an arithmetic number, because the mean of its divisors is an integer number (8826720).

Almost surely, 2^859001220 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 859001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694730240).

859001220 is an abundant number, since it is smaller than the sum of its proper divisors (2530459260).

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

859001220 is a wasteful number, since it uses less digits than its factorization.

859001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 859001220 is about 29308.7225924297. The cubic root of 859001220 is about 950.6002559218.

The spelling of 859001220 in words is "eight hundred fifty-nine million, one thousand, two hundred twenty".