82487808 has 280 divisors, whose sum is σ = 281771028. Its totient is φ = 23887872.

The previous prime is 82487767. The next prime is 82487809. The reversal of 82487808 is 80878428.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 186624 = 9072^2 + 432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82487809) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4852216 + ... + 4852232.

Almost surely, 2^82487808 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 82487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140885514).

82487808 is an abundant number, since it is smaller than the sum of its proper divisors (199283220).

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

82487808 is an equidigital number, since it uses as much as digits as its factorization.

82487808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 82487808 is about 9082.2798899836. The cubic root of 82487808 is about 435.3079389129.

The spelling of 82487808 in words is "eighty-two million, four hundred eighty-seven thousand, eight hundred eight".