82200920 has 32 divisors (see below), whose sum is σ = 187492320. Its totient is φ = 32428800.

The previous prime is 82200887. The next prime is 82200991. The reversal of 82200920 is 2900228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11156 + ... + 16995.

It is an arithmetic number, because the mean of its divisors is an integer number (5859135).

Almost surely, 2^82200920 is an apocalyptic number.

It is an amenable number.

82200920 is an abundant number, since it is smaller than the sum of its proper divisors (105291400).

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

82200920 is a wasteful number, since it uses less digits than its factorization.

82200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28235 (or 28231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82200920 is about 9066.4723018382. The cubic root of 82200920 is about 434.8026938026.

The spelling of 82200920 in words is "eighty-two million, two hundred thousand, nine hundred twenty".