82204640 has 96 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 26694144.

The previous prime is 82204597. The next prime is 82204663. The reversal of 82204640 is 4640228.

82204640 = T₁₁₉ + T₁₂₀ + ... + T₇₉₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19349 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^82204640 is an apocalyptic number.

82204640 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 82204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

82204640 is an abundant number, since it is smaller than the sum of its proper divisors (151490080).

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

82204640 is a wasteful number, since it uses less digits than its factorization.

82204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 82204640 is about 9066.6774509740. The cubic root of 82204640 is about 434.8092526976.

Adding to 82204640 its reverse (4640228), we get a palindrome (86844868).

The spelling of 82204640 in words is "eighty-two million, two hundred four thousand, six hundred forty".