82326240 has 384 divisors, whose sum is σ = 326592000. Its totient is φ = 19243008.

The previous prime is 82326229. The next prime is 82326253. The reversal of 82326240 is 4262328.

82326240 is a `hidden beast` number, since 8 + 2 + 32 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395331 + ... + 1395389.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^82326240 is an apocalyptic number.

82326240 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 82326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

82326240 is an abundant number, since it is smaller than the sum of its proper divisors (244265760).

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

82326240 is a wasteful number, since it uses less digits than its factorization.

82326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

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

The square root of 82326240 is about 9073.3808472917. The cubic root of 82326240 is about 435.0235421266.

Adding to 82326240 its reverse (4262328), we get a palindrome (86588568).

The spelling of 82326240 in words is "eighty-two million, three hundred twenty-six thousand, two hundred forty".