859052544 has 160 divisors (see below), whose sum is σ = 2643104640. Its totient is φ = 242860032.

The previous prime is 859052527. The next prime is 859052591. The reversal of 859052544 is 445250958.

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

It is a junction number, because it is equal to n+sod(n) for n = 859052496 and 859052505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171602 + ... + 1172334.

It is an arithmetic number, because the mean of its divisors is an integer number (16519404).

Almost surely, 2^859052544 is an apocalyptic number.

859052544 is a gapful number since it is divisible by the number (84) 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 859052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321552320).

859052544 is an abundant number, since it is smaller than the sum of its proper divisors (1784052096).

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

859052544 is a wasteful number, since it uses less digits than its factorization.

859052544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 859052544 is about 29309.5981548707. The cubic root of 859052544 is about 950.6191878452.

The spelling of 859052544 in words is "eight hundred fifty-nine million, fifty-two thousand, five hundred forty-four".