82210020 has 48 divisors (see below), whose sum is σ = 230612928. Its totient is φ = 21882240.

The previous prime is 82209989. The next prime is 82210033. The reversal of 82210020 is 2001228.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 46350 + ... + 48090.

It is an arithmetic number, because the mean of its divisors is an integer number (4804436).

Almost surely, 2^82210020 is an apocalyptic number.

It is an amenable number.

82210020 is an abundant number, since it is smaller than the sum of its proper divisors (148402908).

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

82210020 is a wasteful number, since it uses less digits than its factorization.

82210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82210020 is about 9066.9741369434. The cubic root of 82210020 is about 434.8187380614.

Adding to 82210020 its reverse (2001228), we get a palindrome (84211248).

The spelling of 82210020 in words is "eighty-two million, two hundred ten thousand, twenty".