82351360 has 216 divisors, whose sum is σ = 249560136. Its totient is φ = 25804800.

The previous prime is 82351337. The next prime is 82351361. The reversal of 82351360 is 6315328.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 68690944 = 3696^2 + 8288^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82351361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815310 + ... + 815410.

It is an arithmetic number, because the mean of its divisors is an integer number (1155371).

Almost surely, 2^82351360 is an apocalyptic number.

82351360 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 82351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124780068).

82351360 is an abundant number, since it is smaller than the sum of its proper divisors (167208776).

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

82351360 is a wasteful number, since it uses less digits than its factorization.

82351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 82351360 is about 9074.7650107317. The cubic root of 82351360 is about 435.0677835095.

Adding to 82351360 its reverse (6315328), we get a palindrome (88666688).

The spelling of 82351360 in words is "eighty-two million, three hundred fifty-one thousand, three hundred sixty".