84417984 has 168 divisors, whose sum is σ = 288980880. Its totient is φ = 24095232.

The previous prime is 84417973. The next prime is 84418021. The reversal of 84417984 is 48971448.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84174 + ... + 85170.

Almost surely, 2^84417984 is an apocalyptic number.

84417984 is a gapful number since it is divisible by the number (84) 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 84417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144490440).

84417984 is an abundant number, since it is smaller than the sum of its proper divisors (204562896).

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

84417984 is a wasteful number, since it uses less digits than its factorization.

84417984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1009 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 84417984 is about 9187.9259901242. The cubic root of 84417984 is about 438.6771286675.

The spelling of 84417984 in words is "eighty-four million, four hundred seventeen thousand, nine hundred eighty-four".