82242160 has 240 divisors, whose sum is σ = 261411840. Its totient is φ = 23362560.

The previous prime is 82242113. The next prime is 82242161. The reversal of 82242160 is 6124228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82242161) 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, 1041001 + ... + 1041079.

It is an arithmetic number, because the mean of its divisors is an integer number (1089216).

Almost surely, 2^82242160 is an apocalyptic number.

82242160 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 82242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705920).

82242160 is an abundant number, since it is smaller than the sum of its proper divisors (179169680).

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

82242160 is a wasteful number, since it uses less digits than its factorization.

82242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 82242160 is about 9068.7463301164. The cubic root of 82242160 is about 434.8753947944.

Adding to 82242160 its reverse (6124228), we get a palindrome (88366388).

It can be divided in two parts, 82 and 242160, that added together give a palindrome (242242).

The spelling of 82242160 in words is "eighty-two million, two hundred forty-two thousand, one hundred sixty".