84980 has 24 divisors (see below), whose sum is σ = 204288. Its totient is φ = 29088.

The previous prime is 84979. The next prime is 84991. The reversal of 84980 is 8948.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2⁸⁴⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

84980 is an abundant number, since it is smaller than the sum of its proper divisors (119308).

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 (102144).

84980 is a wasteful number, since it uses less digits than its factorization.

84980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 84980 is about 291.5132930074. The cubic root of 84980 is about 43.9648479572.

It can be divided in two parts, 849 and 80, that added together give a palindrome (929).

The spelling of 84980 in words is "eighty-four thousand, nine hundred eighty".