538680 has 48 divisors (see below), whose sum is σ = 1640520. Its totient is φ = 141504.

The previous prime is 538651. The next prime is 538697. The reversal of 538680 is 86835.

538680 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×538680² = 580352284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

538680 is an undulating number in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 8007 + ... + 8073.

2⁵³⁸⁶⁸⁰ 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 538680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820260).

538680 is an abundant number, since it is smaller than the sum of its proper divisors (1101840).

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

538680 is a wasteful number, since it uses less digits than its factorization.

538680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 538680 is about 733.9482270569. The cubic root of 538680 is about 81.3661219287.

Multiplying 538680 by its sum of digits (30), we get a square (16160400 = 4020²).

538680 divided by its sum of digits (30) gives a square (17956 = 134²).

The spelling of 538680 in words is "five hundred thirty-eight thousand, six hundred eighty".