82540224 has 168 divisors, whose sum is σ = 259986272. Its totient is φ = 24883200.

The previous prime is 82540223. The next prime is 82540243. The reversal of 82540224 is 42204528.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82540223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546549 + ... + 546699.

Almost surely, 2^82540224 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 82540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129993136).

82540224 is an abundant number, since it is smaller than the sum of its proper divisors (177446048).

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

82540224 is a wasteful number, since it uses less digits than its factorization.

82540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 82540224 is about 9085.1650507847. The cubic root of 82540224 is about 435.4001233226.

The spelling of 82540224 in words is "eighty-two million, five hundred forty thousand, two hundred twenty-four".