84620 has 12 divisors (see below), whose sum is σ = 177744. Its totient is φ = 33840.

The previous prime is 84589. The next prime is 84629. The reversal of 84620 is 2648.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4231 = 84620 / (8 + 4 + 6 + 2 + 0).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 84592 and 84601.

It is not an unprimeable number, because it can be changed into a prime (84629) by changing a digit.

84620 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2096 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (14812).

2⁸⁴⁶²⁰ is an apocalyptic number.

It is an amenable number.

84620 is an abundant number, since it is smaller than the sum of its proper divisors (93124).

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 (88872).

84620 is a wasteful number, since it uses less digits than its factorization.

84620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 84620 is about 290.8951701215. The cubic root of 84620 is about 43.9026774553.

The spelling of 84620 in words is "eighty-four thousand, six hundred twenty".