84842208 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 25159680.

The previous prime is 84842203. The next prime is 84842209. The reversal of 84842208 is 80224848.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84842203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750760 + ... + 750872.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^84842208 is an apocalyptic number.

84842208 is a gapful number since it is divisible by the number (88) 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 84842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

84842208 is an abundant number, since it is smaller than the sum of its proper divisors (190946592).

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

84842208 is a wasteful number, since it uses less digits than its factorization.

84842208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84842208 is about 9210.9830094296. The cubic root of 84842208 is about 439.4107263141.

The spelling of 84842208 in words is "eighty-four million, eight hundred forty-two thousand, two hundred eight".