859722640 has 320 divisors, whose sum is σ = 2624832000. Its totient is φ = 260112384.

The previous prime is 859722631. The next prime is 859722673. The reversal of 859722640 is 46227958.

859722640 = T₁₁₃ + T₁₁₄ + ... + T₁₇₂₇.

859722640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8863072 + ... + 8863168.

It is an arithmetic number, because the mean of its divisors is an integer number (8202600).

Almost surely, 2^859722640 is an apocalyptic number.

859722640 is a gapful number since it is divisible by the number (80) 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 859722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416000).

859722640 is an abundant number, since it is smaller than the sum of its proper divisors (1765109360).

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

859722640 is a wasteful number, since it uses less digits than its factorization.

859722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 859722640 is about 29321.0272671337. The cubic root of 859722640 is about 950.8662975093.

The spelling of 859722640 in words is "eight hundred fifty-nine million, seven hundred twenty-two thousand, six hundred forty".