84656 has 40 divisors (see below), whose sum is σ = 197904. Its totient is φ = 34560.

The previous prime is 84653. The next prime is 84659. The reversal of 84656 is 65648.

It is an interprime number because it is at equal distance from previous prime (84653) and next prime (84659).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (84653) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2270 + ... + 2306.

2⁸⁴⁶⁵⁶ 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 84656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952).

84656 is an abundant number, since it is smaller than the sum of its proper divisors (113248).

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

84656 is a wasteful number, since it uses less digits than its factorization.

84656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 84656 is about 290.9570415027. The cubic root of 84656 is about 43.9089024309.

It can be divided in two parts, 8 and 4656, that added together give a palindrome (4664).

The spelling of 84656 in words is "eighty-four thousand, six hundred fifty-six".