84840 has 64 divisors (see below), whose sum is σ = 293760. Its totient is φ = 19200.

The previous prime is 84827. The next prime is 84857. The reversal of 84840 is 4848.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 84840.

It is an unprimeable number.

84840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁸⁴⁸⁴⁰ 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 84840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

84840 is an abundant number, since it is smaller than the sum of its proper divisors (208920).

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

84840 is a wasteful number, since it uses less digits than its factorization.

84840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84840 is about 291.2730677560. The cubic root of 84840 is about 43.9406914425.

It can be divided in two parts, 848 and 40, that added together give a palindrome (888).

The spelling of 84840 in words is "eighty-four thousand, eight hundred forty".