59688 has 24 divisors (see below), whose sum is σ = 161850. Its totient is φ = 19872.

The previous prime is 59671. The next prime is 59693. The reversal of 59688 is 88695.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 10404 = 222^2 + 102^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

59688 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, 343 + ... + 486.

2⁵⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

59688 is an abundant number, since it is smaller than the sum of its proper divisors (102162).

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

59688 is a wasteful number, since it uses less digits than its factorization.

59688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 59688 is about 244.3112768580. The cubic root of 59688 is about 39.0807007449.

It can be divided in two parts, 59 and 688, that added together give a palindrome (747).

The spelling of 59688 in words is "fifty-nine thousand, six hundred eighty-eight".