82026240 has 144 divisors (see below), whose sum is σ = 268875936. Its totient is φ = 21299200.

The previous prime is 82026193. The next prime is 82026247. The reversal of 82026240 is 4262028.

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 82026240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82026247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157180 + ... + 157700.

It is an arithmetic number, because the mean of its divisors is an integer number (1867194).

Almost surely, 2^82026240 is an apocalyptic number.

82026240 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 82026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134437968).

82026240 is an abundant number, since it is smaller than the sum of its proper divisors (186849696).

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

82026240 is a wasteful number, since it uses less digits than its factorization.

82026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82026240 is about 9056.8338838691. The cubic root of 82026240 is about 434.4944847705.

Adding to 82026240 its reverse (4262028), we get a palindrome (86288268).

The spelling of 82026240 in words is "eighty-two million, twenty-six thousand, two hundred forty".