84534300 has 144 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 22276800.

The previous prime is 84534299. The next prime is 84534313. The reversal of 84534300 is 343548.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353581 + ... + 353819.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^84534300 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 84534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

84534300 is an abundant number, since it is smaller than the sum of its proper divisors (190448100).

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

84534300 is a wasteful number, since it uses less digits than its factorization.

84534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 84534300 is about 9194.2536401820. The cubic root of 84534300 is about 438.8785144752.

Adding to 84534300 its reverse (343548), we get a palindrome (84877848).

The spelling of 84534300 in words is "eighty-four million, five hundred thirty-four thousand, three hundred".