84983904 has 84 divisors (see below), whose sum is σ = 250922196. Its totient is φ = 28320192.

The previous prime is 84983887. The next prime is 84983909. The reversal of 84983904 is 40938948.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84983904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84983909) 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 13 ways as a sum of consecutive naturals, for example, 21507 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (2987169).

Almost surely, 2^84983904 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 84983904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125461098).

84983904 is an abundant number, since it is smaller than the sum of its proper divisors (165938292).

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

84983904 is an equidigital number, since it uses as much as digits as its factorization.

84983904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 84983904 is about 9218.6714878013. The cubic root of 84983904 is about 439.6552119852.

The spelling of 84983904 in words is "eighty-four million, nine hundred eighty-three thousand, nine hundred four".