84665984 has 128 divisors (see below), whose sum is σ = 199720080. Its totient is φ = 35389440.

The previous prime is 84665983. The next prime is 84666019. The reversal of 84665984 is 48956648.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18731584 + 65934400 = 4328^2 + 8120^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84665981) 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 15 ways as a sum of consecutive naturals, for example, 1159772 + ... + 1159844.

Almost surely, 2^84665984 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 84665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99860040).

84665984 is an abundant number, since it is smaller than the sum of its proper divisors (115054096).

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

84665984 is a wasteful number, since it uses less digits than its factorization.

84665984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 84665984 is about 9201.4120655473. The cubic root of 84665984 is about 439.1062851156.

The spelling of 84665984 in words is "eighty-four million, six hundred sixty-five thousand, nine hundred eighty-four".