82442160 has 120 divisors (see below), whose sum is σ = 281165040. Its totient is φ = 21643776.

The previous prime is 82442149. The next prime is 82442233. The reversal of 82442160 is 6124428.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47386 + ... + 49094.

It is an arithmetic number, because the mean of its divisors is an integer number (2343042).

Almost surely, 2^82442160 is an apocalyptic number.

82442160 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 82442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582520).

82442160 is an abundant number, since it is smaller than the sum of its proper divisors (198722880).

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

82442160 is a wasteful number, since it uses less digits than its factorization.

82442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82442160 is about 9079.7665168219. The cubic root of 82442160 is about 435.2276256162.

Adding to 82442160 its reverse (6124428), we get a palindrome (88566588).

It can be divided in two parts, 8244 and 2160, that added together give a square (10404 = 102²).

The spelling of 82442160 in words is "eighty-two million, four hundred forty-two thousand, one hundred sixty".