84630 has 64 divisors (see below), whose sum is σ = 258048. Its totient is φ = 17280.

The previous prime is 84629. The next prime is 84631. The reversal of 84630 is 3648.

It is an interprime number because it is at equal distance from previous prime (84629) and next prime (84631).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 84597 and 84606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715 + ... + 2745.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁸⁴⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

84630 is an abundant number, since it is smaller than the sum of its proper divisors (173418).

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

84630 is a wasteful number, since it uses less digits than its factorization.

84630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 84630 is about 290.9123579362. The cubic root of 84630 is about 43.9044067923.

The spelling of 84630 in words is "eighty-four thousand, six hundred thirty".