84206304 has 432 divisors, whose sum is σ = 329395248. Its totient is φ = 20901888.

The previous prime is 84206257. The next prime is 84206327. The reversal of 84206304 is 40360248.

84206304 is a `hidden beast` number, since 8 + 4 + 20 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953304 + ... + 4953320.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^84206304 is an apocalyptic number.

84206304 is a gapful number since it is divisible by the number (84) 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 84206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

84206304 is an abundant number, since it is smaller than the sum of its proper divisors (245188944).

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

84206304 is a wasteful number, since it uses less digits than its factorization.

84206304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84206304 is about 9176.3992938407. The cubic root of 84206304 is about 438.3101575002.

The spelling of 84206304 in words is "eighty-four million, two hundred six thousand, three hundred four".