82008240 has 40 divisors (see below), whose sum is σ = 254226288. Its totient is φ = 21868800.

The previous prime is 82008239. The next prime is 82008247. The reversal of 82008240 is 4280028.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82008240.

It is not an unprimeable number, because it can be changed into a prime (82008247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170611 + ... + 171090.

Almost surely, 2^82008240 is an apocalyptic number.

82008240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82008240 is an abundant number, since it is smaller than the sum of its proper divisors (172218048).

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

82008240 is a wasteful number, since it uses less digits than its factorization.

82008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341717 (or 341711 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82008240 is about 9055.8401045955. The cubic root of 82008240 is about 434.4627003364.

Adding to 82008240 its reverse (4280028), we get a palindrome (86288268).

The spelling of 82008240 in words is "eighty-two million, eight thousand, two hundred forty".