859680 has 96 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 228096.

The previous prime is 859679. The next prime is 859681. The reversal of 859680 is 86958.

It is an interprime number because it is at equal distance from previous prime (859679) and next prime (859681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (859681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4221 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁸⁵⁹⁶⁸⁰ is an apocalyptic number.

859680 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 859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

859680 is an abundant number, since it is smaller than the sum of its proper divisors (2164320).

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

859680 is a wasteful number, since it uses less digits than its factorization.

859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 859680 is about 927.1893010599. The cubic root of 859680 is about 95.0850577087.

The spelling of 859680 in words is "eight hundred fifty-nine thousand, six hundred eighty".