855360 has 168 divisors, whose sum is σ = 3328416. Its totient is φ = 207360.

The previous prime is 855359. The next prime is 855373. The reversal of 855360 is 63558.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77755 + ... + 77765.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

855360 is a Friedman number, since it can be written as (30-8)*6^5*5, using all its digits and the basic arithmetic operations.

2⁸⁵⁵³⁶⁰ is an apocalyptic number.

855360 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 855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

855360 is an abundant number, since it is smaller than the sum of its proper divisors (2473056).

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

855360 is a wasteful number, since it uses less digits than its factorization.

855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 855360 is about 924.8567456639. The cubic root of 855360 is about 94.9255187216.

It can be divided in two parts, 85 and 5360, that added together give a palindrome (5445).

The spelling of 855360 in words is "eight hundred fifty-five thousand, three hundred sixty".