84687984 has 160 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 26707968.

The previous prime is 84687983. The next prime is 84688007. The reversal of 84687984 is 48978648.

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

Its product of digits (3096576) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 84687984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84687983) 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 31 ways as a sum of consecutive naturals, for example, 873024 + ... + 873120.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^84687984 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 84687984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325120).

84687984 is an abundant number, since it is smaller than the sum of its proper divisors (171962256).

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

84687984 is a wasteful number, since it uses less digits than its factorization.

84687984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 84687984 is about 9202.6074565853. The cubic root of 84687984 is about 439.1443149563.

The spelling of 84687984 in words is "eighty-four million, six hundred eighty-seven thousand, nine hundred eighty-four".