82185360 has 80 divisors (see below), whose sum is σ = 255680064. Its totient is φ = 21838336.

The previous prime is 82185353. The next prime is 82185379. The reversal of 82185360 is 6358128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105934 + ... + 106706.

Almost surely, 2^82185360 is an apocalyptic number.

82185360 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 82185360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127840032).

82185360 is an abundant number, since it is smaller than the sum of its proper divisors (173494704).

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

82185360 is a wasteful number, since it uses less digits than its factorization.

82185360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 82185360 is about 9065.6141545954. The cubic root of 82185360 is about 434.7752571395.

The spelling of 82185360 in words is "eighty-two million, one hundred eighty-five thousand, three hundred sixty".