84487200 has 288 divisors, whose sum is σ = 323979264. Its totient is φ = 18723840.

The previous prime is 84487199. The next prime is 84487219. The reversal of 84487200 is 278448.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789547 + ... + 789653.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^84487200 is an apocalyptic number.

84487200 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 84487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

84487200 is an abundant number, since it is smaller than the sum of its proper divisors (239492064).

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

84487200 is a wasteful number, since it uses less digits than its factorization.

84487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 84487200 is about 9191.6919008418. The cubic root of 84487200 is about 438.7969893099.

The spelling of 84487200 in words is "eighty-four million, four hundred eighty-seven thousand, two hundred".