8456 has 16 divisors (see below), whose sum is σ = 18240. Its totient is φ = 3600.

The previous prime is 8447. The next prime is 8461. The reversal of 8456 is 6548.

Its product of digits (960) is a multiple of the sum of its prime divisors (160).

It is a plaindrome in base 15.

It is an unprimeable number.

8456 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

2⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

8456 is an abundant number, since it is smaller than the sum of its proper divisors (9784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120).

8456 is a wasteful number, since it uses less digits than its factorization.

8456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 8456 is about 91.9565114606. The cubic root of 8456 is about 20.3730002930.

It can be divided in two parts, 8 and 456, that added together give a palindrome (464).

The spelling of 8456 in words is "eight thousand, four hundred fifty-six".