82197640 has 64 divisors (see below), whose sum is σ = 212780160. Its totient is φ = 27993600.

The previous prime is 82197631. The next prime is 82197673. The reversal of 82197640 is 4679128.

It is a self number, because there is not a number n which added to its sum of digits gives 82197640.

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, 44740 + ... + 46540.

It is an arithmetic number, because the mean of its divisors is an integer number (3324690).

Almost surely, 2^82197640 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 82197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106390080).

82197640 is an abundant number, since it is smaller than the sum of its proper divisors (130582520).

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

82197640 is a wasteful number, since it uses less digits than its factorization.

82197640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 82197640 is about 9066.2914138031. The cubic root of 82197640 is about 434.7969105266.

The spelling of 82197640 in words is "eighty-two million, one hundred ninety-seven thousand, six hundred forty".