84889200 has 240 divisors, whose sum is σ = 304444800. Its totient is φ = 20044800.

The previous prime is 84889183. The next prime is 84889219. The reversal of 84889200 is 298848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778746 + ... + 778854.

It is an arithmetic number, because the mean of its divisors is an integer number (1268520).

Almost surely, 2^84889200 is an apocalyptic number.

84889200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

84889200 is an abundant number, since it is smaller than the sum of its proper divisors (219555600).

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

84889200 is a wasteful number, since it uses less digits than its factorization.

84889200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

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

The square root of 84889200 is about 9213.5335241155. The cubic root of 84889200 is about 439.4918375842.

The spelling of 84889200 in words is "eighty-four million, eight hundred eighty-nine thousand, two hundred".