59544 has 24 divisors (see below), whose sum is σ = 161460. Its totient is φ = 19824.

The previous prime is 59539. The next prime is 59557. The reversal of 59544 is 44595.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×59544³ = 633337600983552, which contains 333 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59544.

It is an unprimeable number.

59544 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 5 ways as a sum of consecutive naturals, for example, 342 + ... + 485.

2⁵⁹⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

59544 is an abundant number, since it is smaller than the sum of its proper divisors (101916).

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

59544 is a wasteful number, since it uses less digits than its factorization.

59544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 59544 is about 244.0163928920. The cubic root of 59544 is about 39.0492474510.

The spelling of 59544 in words is "fifty-nine thousand, five hundred forty-four".