82040608 has 72 divisors (see below), whose sum is σ = 180176724. Its totient is φ = 36541440.

The previous prime is 82040597. The next prime is 82040611. The reversal of 82040608 is 80604028.

It can be written as a sum of positive squares in 6 ways, for example, as 824464 + 81216144 = 908^2 + 9012^2 .

It is a super-2 number, since 2×82040608² = 13461322722019328, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1344898 + ... + 1344958.

Almost surely, 2^82040608 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 82040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90088362).

82040608 is an abundant number, since it is smaller than the sum of its proper divisors (98136116).

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

82040608 is a wasteful number, since it uses less digits than its factorization.

82040608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82040608 is about 9057.6270623160. The cubic root of 82040608 is about 434.5198524752.

The spelling of 82040608 in words is "eighty-two million, forty thousand, six hundred eight".