84795984 has 200 divisors, whose sum is σ = 302480640. Its totient is φ = 22332672.

The previous prime is 84795979. The next prime is 84795989. The reversal of 84795984 is 48959748.

84795984 is a `hidden beast` number, since 8 + 47 + 9 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84795979) and next prime (84795989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84795984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84795989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117577 + ... + 118295.

Almost surely, 2^84795984 is an apocalyptic number.

84795984 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 84795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

84795984 is an abundant number, since it is smaller than the sum of its proper divisors (217684656).

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

84795984 is a wasteful number, since it uses less digits than its factorization.

84795984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 84795984 is about 9208.4734891295. The cubic root of 84795984 is about 439.3309114370.

The spelling of 84795984 in words is "eighty-four million, seven hundred ninety-five thousand, nine hundred eighty-four".