82344600 has 480 divisors, whose sum is σ = 340290720. Its totient is φ = 18247680.

The previous prime is 82344557. The next prime is 82344607. The reversal of 82344600 is 644328.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82344607) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3580189 + ... + 3580211.

It is an arithmetic number, because the mean of its divisors is an integer number (708939).

Almost surely, 2^82344600 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 82344600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

82344600 is an abundant number, since it is smaller than the sum of its proper divisors (257946120).

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

82344600 is a wasteful number, since it uses less digits than its factorization.

82344600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

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

The square root of 82344600 is about 9074.3925416526. The cubic root of 82344600 is about 435.0558786719.

Adding to 82344600 its reverse (644328), we get a palindrome (82988928).

It can be divided in two parts, 82344 and 600, that added together give a square (82944 = 288²).

The spelling of 82344600 in words is "eighty-two million, three hundred forty-four thousand, six hundred".