82225260 has 288 divisors, whose sum is σ = 298831680. Its totient is φ = 18690048.

The previous prime is 82225259. The next prime is 82225267. The reversal of 82225260 is 6252228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82225267) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1551394 + ... + 1551446.

It is an arithmetic number, because the mean of its divisors is an integer number (1037610).

Almost surely, 2^82225260 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 82225260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

82225260 is an abundant number, since it is smaller than the sum of its proper divisors (216606420).

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

82225260 is a wasteful number, since it uses less digits than its factorization.

82225260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82225260 is about 9067.8145106746. The cubic root of 82225260 is about 434.8456051357.

Adding to 82225260 its reverse (6252228), we get a palindrome (88477488).

The spelling of 82225260 in words is "eighty-two million, two hundred twenty-five thousand, two hundred sixty".