82018160 has 120 divisors (see below), whose sum is σ = 226119456. Its totient is φ = 27659520.

The previous prime is 82018151. The next prime is 82018169. The reversal of 82018160 is 6181028.

It is an interprime number because it is at equal distance from previous prime (82018151) and next prime (82018169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82018169) 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, 1344530 + ... + 1344590.

Almost surely, 2^82018160 is an apocalyptic number.

82018160 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 82018160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113059728).

82018160 is an abundant number, since it is smaller than the sum of its proper divisors (144101296).

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

82018160 is an frugal number, since it uses more digits than its factorization.

82018160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 82018160 is about 9056.3878008840. The cubic root of 82018160 is about 434.4802176664.

Adding to 82018160 its reverse (6181028), we get a palindrome (88199188).

It can be divided in two parts, 8201 and 8160, that added together give a palindrome (16361).

The spelling of 82018160 in words is "eighty-two million, eighteen thousand, one hundred sixty".