82801620 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 18144000.

The previous prime is 82801613. The next prime is 82801627. The reversal of 82801620 is 2610828.

It is an interprime number because it is at equal distance from previous prime (82801613) and next prime (82801627).

It is a super-2 number, since 2×82801620² = 13712216549248800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82801627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166185 + ... + 1166255.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^82801620 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 82801620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

82801620 is an abundant number, since it is smaller than the sum of its proper divisors (219114540).

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

82801620 is a wasteful number, since it uses less digits than its factorization.

82801620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82801620 is about 9099.5395487904. The cubic root of 82801620 is about 435.8592607499.

The spelling of 82801620 in words is "eighty-two million, eight hundred one thousand, six hundred twenty".