84208950 has 288 divisors, whose sum is σ = 288374400. Its totient is φ = 17962560.

The previous prime is 84208937. The next prime is 84209033. The reversal of 84208950 is 5980248.

It is a super-2 number, since 2×84208950² = 14182294520205000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1256817 + ... + 1256883.

It is an arithmetic number, because the mean of its divisors is an integer number (1001300).

Almost surely, 2^84208950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84208950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

84208950 is an abundant number, since it is smaller than the sum of its proper divisors (204165450).

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

84208950 is a wasteful number, since it uses less digits than its factorization.

84208950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 84208950 is about 9176.5434669052. The cubic root of 84208950 is about 438.3147484333.

It can be divided in two parts, 84208 and 950, that added together give a palindrome (85158).

The spelling of 84208950 in words is "eighty-four million, two hundred eight thousand, nine hundred fifty".