859968 has 42 divisors (see below), whose sum is σ = 2466594. Its totient is φ = 286464.

The previous prime is 859939. The next prime is 859973. The reversal of 859968 is 869958.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 28224 = 912^2 + 168^2 .

It is a super-2 number, since 2×859968² = 1479089922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171 + ... + 1322.

859968 is a Friedman number, since it can be written as 8958*96, using all its digits and the basic arithmetic operations.

2⁸⁵⁹⁹⁶⁸ 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 859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233297).

859968 is an abundant number, since it is smaller than the sum of its proper divisors (1606626).

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

859968 is a wasteful number, since it uses less digits than its factorization.

859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1498 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 859968 is about 927.3445961454. The cubic root of 859968 is about 95.0956746201.

The spelling of 859968 in words is "eight hundred fifty-nine thousand, nine hundred sixty-eight".