59436 has 36 divisors (see below), whose sum is σ = 163072. Its totient is φ = 18144.

The previous prime is 59419. The next prime is 59441. The reversal of 59436 is 63495.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

59436 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 11 ways as a sum of consecutive naturals, for example, 405 + ... + 531.

2⁵⁹⁴³⁶ 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 59436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81536).

59436 is an abundant number, since it is smaller than the sum of its proper divisors (103636).

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

59436 is a wasteful number, since it uses less digits than its factorization.

59436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 59436 is about 243.7949958469. The cubic root of 59436 is about 39.0256241861.

It can be divided in two parts, 594 and 36, that added together give a triangular number (630 = T₃₅).

The spelling of 59436 in words is "fifty-nine thousand, four hundred thirty-six".