82998160 has 120 divisors (see below), whose sum is σ = 232056576. Its totient is φ = 27498240.

The previous prime is 82998143. The next prime is 82998163. The reversal of 82998160 is 6189928.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82998163) 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 23 ways as a sum of consecutive naturals, for example, 121179 + ... + 121861.

Almost surely, 2^82998160 is an apocalyptic number.

82998160 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 82998160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116028288).

82998160 is an abundant number, since it is smaller than the sum of its proper divisors (149058416).

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

82998160 is a wasteful number, since it uses less digits than its factorization.

82998160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 82998160 is about 9110.3325954654. The cubic root of 82998160 is about 436.2038437441.

It can be divided in two parts, 829 and 98160, that added together give a palindrome (98989).

The spelling of 82998160 in words is "eighty-two million, nine hundred ninety-eight thousand, one hundred sixty".