82818560 has 160 divisors (see below), whose sum is σ = 230690592. Its totient is φ = 28180480.

The previous prime is 82818553. The next prime is 82818569. The reversal of 82818560 is 6581828.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82818569) 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 15 ways as a sum of consecutive naturals, for example, 478634 + ... + 478806.

Almost surely, 2^82818560 is an apocalyptic number.

82818560 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 82818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115345296).

82818560 is an abundant number, since it is smaller than the sum of its proper divisors (147872032).

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

82818560 is a wasteful number, since it uses less digits than its factorization.

82818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 82818560 is about 9100.4703175166. The cubic root of 82818560 is about 435.8889821990. Note that the first 3 decimals are identical.

The spelling of 82818560 in words is "eighty-two million, eight hundred eighteen thousand, five hundred sixty".