84900 has 36 divisors (see below), whose sum is σ = 246512. Its totient is φ = 22560.

The previous prime is 84871. The next prime is 84913. The reversal of 84900 is 948.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 441.

2⁸⁴⁹⁰⁰ 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 84900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123256).

84900 is an abundant number, since it is smaller than the sum of its proper divisors (161612).

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

84900 is a wasteful number, since it uses less digits than its factorization.

84900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 84900 is about 291.3760456867. The cubic root of 84900 is about 43.9510474861.

The spelling of 84900 in words is "eighty-four thousand, nine hundred".