84825216 has 192 divisors, whose sum is σ = 284930880. Its totient is φ = 23721984.

The previous prime is 84825211. The next prime is 84825227. The reversal of 84825216 is 61252848.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84825211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540210 + ... + 540366.

It is an arithmetic number, because the mean of its divisors is an integer number (1484015).

Almost surely, 2^84825216 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 84825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142465440).

84825216 is an abundant number, since it is smaller than the sum of its proper divisors (200105664).

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

84825216 is a wasteful number, since it uses less digits than its factorization.

84825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 84825216 is about 9210.0605861199. The cubic root of 84825216 is about 439.3813896363.

The spelling of 84825216 in words is "eighty-four million, eight hundred twenty-five thousand, two hundred sixteen".