858960 has 60 divisors (see below), whose sum is σ = 2887092. Its totient is φ = 228864.

The previous prime is 858953. The next prime is 858961. The reversal of 858960 is 69858.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 484416 = 612^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858961) by changing a digit.

858960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 1316.

2⁸⁵⁸⁹⁶⁰ is an apocalyptic number.

858960 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 858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443546).

858960 is an abundant number, since it is smaller than the sum of its proper divisors (2028132).

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

858960 is a wasteful number, since it uses less digits than its factorization.

858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1203 counting only the distinct ones).

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

The square root of 858960 is about 926.8009495032. The cubic root of 858960 is about 95.0585050523.

It can be divided in two parts, 8589 and 60, that added together give a square (8649 = 93²).

The spelling of 858960 in words is "eight hundred fifty-eight thousand, nine hundred sixty".