59680 has 24 divisors (see below), whose sum is σ = 141372. Its totient is φ = 23808.

The previous prime is 59671. The next prime is 59693. The reversal of 59680 is 8695.

59680 = T₁₅₂ + T₁₅₃ + ... + T₁₅₆.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 144 = 244^2 + 12^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 346.

2⁵⁹⁶⁸⁰ 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 59680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70686).

59680 is an abundant number, since it is smaller than the sum of its proper divisors (81692).

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

59680 is a wasteful number, since it uses less digits than its factorization.

59680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 59680 is about 244.2949037536. The cubic root of 59680 is about 39.0789546677.

It can be divided in two parts, 596 and 80, that added together give a palindrome (676).

The spelling of 59680 in words is "fifty-nine thousand, six hundred eighty".