82824540 has 48 divisors (see below), whose sum is σ = 233600640. Its totient is φ = 21925440.

The previous prime is 82824509. The next prime is 82824607. The reversal of 82824540 is 4542828.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375 + ... + 13305.

It is an arithmetic number, because the mean of its divisors is an integer number (4866680).

Almost surely, 2^82824540 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 82824540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116800320).

82824540 is an abundant number, since it is smaller than the sum of its proper divisors (150776100).

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

82824540 is a wasteful number, since it uses less digits than its factorization.

82824540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82824540 is about 9100.7988660337. The cubic root of 82824540 is about 435.8994732185.

The spelling of 82824540 in words is "eighty-two million, eight hundred twenty-four thousand, five hundred forty".