538920 has 64 divisors (see below), whose sum is σ = 1800000. Its totient is φ = 143424.

The previous prime is 538877. The next prime is 538921. The reversal of 538920 is 29835.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (538921) by changing a digit.

538920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (28125).

2⁵³⁸⁹²⁰ 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 538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900000).

538920 is an abundant number, since it is smaller than the sum of its proper divisors (1261080).

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

538920 is a wasteful number, since it uses less digits than its factorization.

538920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 538920 is about 734.1117081208. Note that the first 3 decimals coincide. The cubic root of 538920 is about 81.3782039130.

The spelling of 538920 in words is "five hundred thirty-eight thousand, nine hundred twenty".