82715360 has 288 divisors, whose sum is σ = 265628160. Its totient is φ = 23721984.

The previous prime is 82715357. The next prime is 82715401. The reversal of 82715360 is 6351728.

82715360 = T₃₆₁ + T₃₆₂ + ... + T₈₁₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3596309 + ... + 3596331.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 2^82715360 is an apocalyptic number.

82715360 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 82715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

82715360 is an abundant number, since it is smaller than the sum of its proper divisors (182912800).

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

82715360 is a wasteful number, since it uses less digits than its factorization.

82715360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82715360 is about 9094.7985134361. The cubic root of 82715360 is about 435.7078535542.

It can be divided in two parts, 8271 and 5360, that added together give a palindrome (13631).

The spelling of 82715360 in words is "eighty-two million, seven hundred fifteen thousand, three hundred sixty".