82984020 has 96 divisors (see below), whose sum is σ = 279552000. Its totient is φ = 17967744.

The previous prime is 82983997. The next prime is 82984043. The reversal of 82984020 is 2048928.

It is an interprime number because it is at equal distance from previous prime (82983997) and next prime (82984043).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781 + ... + 13179.

It is an arithmetic number, because the mean of its divisors is an integer number (2912000).

Almost surely, 2^82984020 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 82984020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776000).

82984020 is an abundant number, since it is smaller than the sum of its proper divisors (196567980).

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

82984020 is a wasteful number, since it uses less digits than its factorization.

82984020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82984020 is about 9109.5565204899. The cubic root of 82984020 is about 436.1790710156.

The spelling of 82984020 in words is "eighty-two million, nine hundred eighty-four thousand, twenty".