84115200 has 216 divisors, whose sum is σ = 299838448. Its totient is φ = 20643840.

The previous prime is 84115193. The next prime is 84115249. The reversal of 84115200 is 251148.

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 23 ways as a sum of consecutive naturals, for example, 249432 + ... + 249768.

Almost surely, 2^84115200 is an apocalyptic number.

84115200 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 84115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149919224).

84115200 is an abundant number, since it is smaller than the sum of its proper divisors (215723248).

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

84115200 is a wasteful number, since it uses less digits than its factorization.

84115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 84115200 is about 9171.4339118810. The cubic root of 84115200 is about 438.1520291247.

Adding to 84115200 its reverse (251148), we get a palindrome (84366348).

The spelling of 84115200 in words is "eighty-four million, one hundred fifteen thousand, two hundred".