84958208 has 44 divisors (see below), whose sum is σ = 171211080. Its totient is φ = 42135552.

The previous prime is 84958201. The next prime is 84958213. The reversal of 84958208 is 80285948.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84958201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166658 + ... + 167166.

Almost surely, 2^84958208 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 84958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85605540).

84958208 is an abundant number, since it is smaller than the sum of its proper divisors (86252872).

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

84958208 is a wasteful number, since it uses less digits than its factorization.

84958208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 84958208 is about 9217.2776892095. The cubic root of 84958208 is about 439.6108956750.

The spelling of 84958208 in words is "eighty-four million, nine hundred fifty-eight thousand, two hundred eight".