59880 has 32 divisors (see below), whose sum is σ = 180000. Its totient is φ = 15936.

The previous prime is 59879. The next prime is 59887. The reversal of 59880 is 8895.

It is a super-2 number, since 2×59880² = 7171228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (59887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (5625).

2⁵⁹⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

59880 is an abundant number, since it is smaller than the sum of its proper divisors (120120).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90000).

59880 is a wasteful number, since it uses less digits than its factorization.

59880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 59880 is about 244.7039027069. The cubic root of 59880 is about 39.1225598753.

It can be divided in two parts, 59 and 880, that added together give a palindrome (939).

The spelling of 59880 in words is "fifty-nine thousand, eight hundred eighty".