82189380 has 96 divisors (see below), whose sum is σ = 283256064. Its totient is φ = 17339904.

The previous prime is 82189357. The next prime is 82189381. The reversal of 82189380 is 8398128.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82189381) 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, 2067 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (2950584).

Almost surely, 2^82189380 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 82189380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141628032).

82189380 is an abundant number, since it is smaller than the sum of its proper divisors (201066684).

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

82189380 is a wasteful number, since it uses less digits than its factorization.

82189380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 82189380 is about 9065.8358687989. The cubic root of 82189380 is about 434.7823458636.

The spelling of 82189380 in words is "eighty-two million, one hundred eighty-nine thousand, three hundred eighty".