82124640 has 288 divisors, whose sum is σ = 312058656. Its totient is φ = 19537920.

The previous prime is 82124639. The next prime is 82124689. The reversal of 82124640 is 4642128.

82124640 is a `hidden beast` number, since 8 + 2 + 12 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 767467 + ... + 767573.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 2^82124640 is an apocalyptic number.

82124640 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 82124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

82124640 is an abundant number, since it is smaller than the sum of its proper divisors (229934016).

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

82124640 is a wasteful number, since it uses less digits than its factorization.

82124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82124640 is about 9062.2646176328. The cubic root of 82124640 is about 434.6681575386.

Adding to 82124640 its reverse (4642128), we get a palindrome (86766768).

The spelling of 82124640 in words is "eighty-two million, one hundred twenty-four thousand, six hundred forty".