82184720 has 60 divisors (see below), whose sum is σ = 197626860. Its totient is φ = 31783680.

The previous prime is 82184719. The next prime is 82184737. The reversal of 82184720 is 2748128.

It can be written as a sum of positive squares in 2 ways, for example, as 33965584 + 48219136 = 5828^2 + 6944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76346 + ... + 77414.

It is an arithmetic number, because the mean of its divisors is an integer number (3293781).

Almost surely, 2^82184720 is an apocalyptic number.

82184720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82184720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98813430).

82184720 is an abundant number, since it is smaller than the sum of its proper divisors (115442140).

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

82184720 is a wasteful number, since it uses less digits than its factorization.

82184720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 82184720 is about 9065.5788563114. The cubic root of 82184720 is about 434.7741285650.

The spelling of 82184720 in words is "eighty-two million, one hundred eighty-four thousand, seven hundred twenty".