856320 has 72 divisors (see below), whose sum is σ = 2747136. Its totient is φ = 227328.

The previous prime is 856309. The next prime is 856333. The reversal of 856320 is 23658.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 856320.

It is an unprimeable number.

856320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3729 + ... + 3951.

2⁸⁵⁶³²⁰ is an apocalyptic number.

856320 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 856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373568).

856320 is an abundant number, since it is smaller than the sum of its proper divisors (1890816).

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

856320 is a wasteful number, since it uses less digits than its factorization.

856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 856320 is about 925.3755994190. The cubic root of 856320 is about 94.9610181709.

Adding to 856320 its reverse (23658), we get a palindrome (879978).

It can be divided in two parts, 856 and 320, that added together give a triangular number (1176 = T₄₈).

The spelling of 856320 in words is "eight hundred fifty-six thousand, three hundred twenty".