82318860 has 144 divisors (see below), whose sum is σ = 272004096. Its totient is φ = 20030976.

The previous prime is 82318853. The next prime is 82318861. The reversal of 82318860 is 6881328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82318861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297042 + ... + 297318.

Almost surely, 2^82318860 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 82318860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136002048).

82318860 is an abundant number, since it is smaller than the sum of its proper divisors (189685236).

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

82318860 is a wasteful number, since it uses less digits than its factorization.

82318860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82318860 is about 9072.9741540467. The cubic root of 82318860 is about 435.0105427488.

It can be divided in two parts, 823 and 18860, that added together give a 9-th power (19683 = 3⁹).

The spelling of 82318860 in words is "eighty-two million, three hundred eighteen thousand, eight hundred sixty".