59540 has 24 divisors (see below), whose sum is σ = 135240. Its totient is φ = 21888.

The previous prime is 59539. The next prime is 59557. The reversal of 59540 is 4595.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 51076 = 92^2 + 226^2 .

It is a plaindrome in base 14.

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 7 ways as a sum of consecutive naturals, for example, 146 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5635).

2⁵⁹⁵⁴⁰ 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 59540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67620).

59540 is an abundant number, since it is smaller than the sum of its proper divisors (75700).

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

59540 is a wasteful number, since it uses less digits than its factorization.

59540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 59540 is about 244.0081965836. The cubic root of 59540 is about 39.0483730249.

Subtracting from 59540 its reverse (4595), we obtain a palindrome (54945).

The spelling of 59540 in words is "fifty-nine thousand, five hundred forty".