82362240 has 192 divisors, whose sum is σ = 289598400. Its totient is φ = 21565440.

The previous prime is 82362239. The next prime is 82362251. The reversal of 82362240 is 4226328.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 454950 + ... + 455130.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 2^82362240 is an apocalyptic number.

82362240 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 82362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799200).

82362240 is an abundant number, since it is smaller than the sum of its proper divisors (207236160).

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

82362240 is a wasteful number, since it uses less digits than its factorization.

82362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82362240 is about 9075.3644554916. The cubic root of 82362240 is about 435.0869425901.

Adding to 82362240 its reverse (4226328), we get a palindrome (86588568).

The spelling of 82362240 in words is "eighty-two million, three hundred sixty-two thousand, two hundred forty".