82281360 has 320 divisors, whose sum is σ = 320550912. Its totient is φ = 17031168.

The previous prime is 82281337. The next prime is 82281379. The reversal of 82281360 is 6318228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228047 + ... + 1228113.

Almost surely, 2^82281360 is an apocalyptic number.

82281360 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 82281360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456).

82281360 is an abundant number, since it is smaller than the sum of its proper divisors (238269552).

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

82281360 is a wasteful number, since it uses less digits than its factorization.

82281360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 82281360 is about 9070.9073416059. The cubic root of 82281360 is about 434.9444769932.

Adding to 82281360 its reverse (6318228), we get a palindrome (88599588).

The spelling of 82281360 in words is "eighty-two million, two hundred eighty-one thousand, three hundred sixty".