59760 has 60 divisors (see below), whose sum is σ = 203112. Its totient is φ = 15744.

The previous prime is 59753. The next prime is 59771. The reversal of 59760 is 6795.

59760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

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 59760.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679 + ... + 761.

2⁵⁹⁷⁶⁰ 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 59760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

59760 is an abundant number, since it is smaller than the sum of its proper divisors (143352).

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

59760 is a wasteful number, since it uses less digits than its factorization.

59760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 59760 is about 244.4585854496. The cubic root of 59760 is about 39.0964084238.

The spelling of 59760 in words is "fifty-nine thousand, seven hundred sixty".