538080 has 96 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 133632.

The previous prime is 538079. The next prime is 538093. The reversal of 538080 is 80835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 538080.

It is a congruent number.

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, 9091 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁵³⁸⁰⁸⁰ 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 538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

538080 is an abundant number, since it is smaller than the sum of its proper divisors (1276320).

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

538080 is a wasteful number, since it uses less digits than its factorization.

538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 538080 is about 733.5393649969. The cubic root of 538080 is about 81.3359012597.

It can be divided in two parts, 5380 and 80, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 538080 in words is "five hundred thirty-eight thousand, eighty".