84289800 has 288 divisors, whose sum is σ = 315515520. Its totient is φ = 18547200.

The previous prime is 84289789. The next prime is 84289801. The reversal of 84289800 is 898248.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84289801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381770 + ... + 1381830.

It is an arithmetic number, because the mean of its divisors is an integer number (1095540).

Almost surely, 2^84289800 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 84289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

84289800 is an abundant number, since it is smaller than the sum of its proper divisors (231225720).

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

84289800 is a wasteful number, since it uses less digits than its factorization.

84289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 84289800 is about 9180.9476635040. The cubic root of 84289800 is about 438.4549806060.

The spelling of 84289800 in words is "eighty-four million, two hundred eighty-nine thousand, eight hundred".