859321680 has 160 divisors (see below), whose sum is σ = 3109515264. Its totient is φ = 192219648.

The previous prime is 859321663. The next prime is 859321693. The reversal of 859321680 is 86123958.

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

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 31 ways as a sum of consecutive naturals, for example, 73519 + ... + 84401.

Almost surely, 2^859321680 is an apocalyptic number.

859321680 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 859321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554757632).

859321680 is an abundant number, since it is smaller than the sum of its proper divisors (2250193584).

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

859321680 is a wasteful number, since it uses less digits than its factorization.

859321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 859321680 is about 29314.1890558139. The cubic root of 859321680 is about 950.7184519061.

The spelling of 859321680 in words is "eight hundred fifty-nine million, three hundred twenty-one thousand, six hundred eighty".