82010240 has 64 divisors (see below), whose sum is σ = 211158360. Its totient is φ = 30277632.

The previous prime is 82010237. The next prime is 82010263. The reversal of 82010240 is 4201028.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 36096064 = 6776^2 + 6008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3392 + ... + 13248.

Almost surely, 2^82010240 is an apocalyptic number.

82010240 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 82010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105579180).

82010240 is an abundant number, since it is smaller than the sum of its proper divisors (129148120).

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

82010240 is a wasteful number, since it uses less digits than its factorization.

82010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 82010240 is about 9055.9505299002. The cubic root of 82010240 is about 434.4662321698.

Adding to 82010240 its reverse (4201028), we get a palindrome (86211268).

The spelling of 82010240 in words is "eighty-two million, ten thousand, two hundred forty".