84225600 has 126 divisors (see below), whose sum is σ = 299408850. Its totient is φ = 22456320.

The previous prime is 84225593. The next prime is 84225601. The reversal of 84225600 is 652248.

84225600 is a `hidden beast` number, since 84 + 22 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 81866304 = 1536^2 + 9048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84225601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11476 + ... + 17324.

Almost surely, 2^84225600 is an apocalyptic number.

84225600 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 84225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149704425).

84225600 is an abundant number, since it is smaller than the sum of its proper divisors (215183250).

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

84225600 is a wasteful number, since it uses less digits than its factorization.

84225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84225600 is about 9177.4506263995. The cubic root of 84225600 is about 438.3436347517.

Adding to 84225600 its reverse (652248), we get a palindrome (84877848).

The spelling of 84225600 in words is "eighty-four million, two hundred twenty-five thousand, six hundred".