82488160 has 48 divisors (see below), whose sum is σ = 196333200. Its totient is φ = 32749056.

The previous prime is 82488157. The next prime is 82488167. The reversal of 82488160 is 6188428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82488167) 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 7 ways as a sum of consecutive naturals, for example, 20386 + ... + 24094.

It is an arithmetic number, because the mean of its divisors is an integer number (4090275).

Almost surely, 2^82488160 is an apocalyptic number.

82488160 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 82488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98166600).

82488160 is an abundant number, since it is smaller than the sum of its proper divisors (113845040).

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

82488160 is a wasteful number, since it uses less digits than its factorization.

82488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 82488160 is about 9082.2992683571. The cubic root of 82488160 is about 435.3085581082.

The spelling of 82488160 in words is "eighty-two million, four hundred eighty-eight thousand, one hundred sixty".