84870984 has 64 divisors (see below), whose sum is σ = 237142080. Its totient is φ = 25088000.

The previous prime is 84870979. The next prime is 84870991. The reversal of 84870984 is 48907848.

It is an unprimeable number.

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, 6904 + ... + 14744.

It is an arithmetic number, because the mean of its divisors is an integer number (3705345).

Almost surely, 2^84870984 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 84870984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118571040).

84870984 is an abundant number, since it is smaller than the sum of its proper divisors (152271096).

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

84870984 is a wasteful number, since it uses less digits than its factorization.

84870984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 84870984 is about 9212.5449252636. The cubic root of 84870984 is about 439.4603991286.

It can be divided in two parts, 84 and 870984, that multiplied together give a triangular number (73162656 = T₁₂₀₉₆).

The spelling of 84870984 in words is "eighty-four million, eight hundred seventy thousand, nine hundred eighty-four".