82538120 has 128 divisors (see below), whose sum is σ = 225884160. Its totient is φ = 26542080.

The previous prime is 82538081. The next prime is 82538129. The reversal of 82538120 is 2183528.

It is not an unprimeable number, because it can be changed into a prime (82538129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321032 + ... + 321288.

It is an arithmetic number, because the mean of its divisors is an integer number (1764720).

Almost surely, 2^82538120 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 82538120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112942080).

82538120 is an abundant number, since it is smaller than the sum of its proper divisors (143346040).

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

82538120 is a wasteful number, since it uses less digits than its factorization.

82538120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 82538120 is about 9085.0492568835. The cubic root of 82538120 is about 435.3964237541.

The spelling of 82538120 in words is "eighty-two million, five hundred thirty-eight thousand, one hundred twenty".