60060 has 96 divisors (see below), whose sum is σ = 225792. Its totient is φ = 11520.
The previous prime is 60041. The next prime is 60077. The reversal of 60060 is 6006.
Added to its reverse (6006) it gives a triangular number (66066 = T363).
60060 = T51 + T52 + ... + T78.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4614 + ... + 4626.
It is an arithmetic number, because the mean of its divisors is an integer number (2352).
260060 is an apocalyptic number.
60060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 60060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).
60060 is an abundant number, since it is smaller than the sum of its proper divisors (165732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60060 is a wasteful number, since it uses less digits than its factorization.
60060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 60060 is about 245.0714181621. The cubic root of 60060 is about 39.1617216231.
60060 divided by its sum of digits (12) gives a palindrome (5005).
Multiplying 60060 by its product of nonzero digits (36), we get a triangular number (2162160 = T2079).
Adding to 60060 its reverse (6006), we get a palindrome (66066).
The spelling of 60060 in words is "sixty thousand, sixty", and thus it is an eban number.
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.074 sec. • engine limits •