84456 has 64 divisors (see below), whose sum is σ = 259200. Its totient is φ = 25344.

The previous prime is 84449. The next prime is 84457. The reversal of 84456 is 65448.

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

It is not an unprimeable number, because it can be changed into a prime (84457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁸⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

84456 is an abundant number, since it is smaller than the sum of its proper divisors (174744).

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

84456 is a wasteful number, since it uses less digits than its factorization.

84456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 84456 is about 290.6131449195. The cubic root of 84456 is about 43.8742968694.

It can be divided in two parts, 844 and 56, that added together give a square (900 = 30²).

The spelling of 84456 in words is "eighty-four thousand, four hundred fifty-six".