82118988 has 96 divisors (see below), whose sum is σ = 256166400. Its totient is φ = 22223808.

The previous prime is 82118987. The next prime is 82119001. The reversal of 82118988 is 88981128.

It is not an unprimeable number, because it can be changed into a prime (82118983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11506 + ... + 17222.

It is an arithmetic number, because the mean of its divisors is an integer number (2668400).

Almost surely, 2^82118988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82118988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128083200).

82118988 is an abundant number, since it is smaller than the sum of its proper divisors (174047412).

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

82118988 is a wasteful number, since it uses less digits than its factorization.

82118988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5748 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 82118988 is about 9061.9527696849. The cubic root of 82118988 is about 434.6581857007.

The spelling of 82118988 in words is "eighty-two million, one hundred eighteen thousand, nine hundred eighty-eight".