827360 has 24 divisors (see below), whose sum is σ = 1955016. Its totient is φ = 330880.

The previous prime is 827347. The next prime is 827369. The reversal of 827360 is 63728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2426 + ... + 2745.

It is an arithmetic number, because the mean of its divisors is an integer number (81459).

2⁸²⁷³⁶⁰ is an apocalyptic number.

827360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827360 is an abundant number, since it is smaller than the sum of its proper divisors (1127656).

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

827360 is a wasteful number, since it uses less digits than its factorization.

827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 827360 is about 909.5933157186. The cubic root of 827360 is about 93.8782186339.

The spelling of 827360 in words is "eight hundred twenty-seven thousand, three hundred sixty".