59080 has 32 divisors (see below), whose sum is σ = 152640. Its totient is φ = 20160.

The previous prime is 59077. The next prime is 59083. The reversal of 59080 is 8095.

59080 = T₁₅ + T₁₆ + ... + T₇₀.

59080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59077) and next prime (59083).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (59083) 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, 175 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (4770).

2⁵⁹⁰⁸⁰ 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 59080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76320).

59080 is an abundant number, since it is smaller than the sum of its proper divisors (93560).

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

59080 is a wasteful number, since it uses less digits than its factorization.

59080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 59080 is about 243.0637776387. The cubic root of 59080 is about 38.9475516760.

The spelling of 59080 in words is "fifty-nine thousand, eighty".