60005580 has 96 divisors (see below), whose sum is σ = 180169920. Its totient is φ = 14868480.

The previous prime is 60005567. The next prime is 60005581. The reversal of 60005580 is 8550006.

It is a super-3 number, since 3×60005580³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 60005580.

It is not an unprimeable number, because it can be changed into a prime (60005581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90450 + ... + 91110.

It is an arithmetic number, because the mean of its divisors is an integer number (1876770).

Almost surely, 2^60005580 is an apocalyptic number.

60005580 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 60005580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90084960).

60005580 is an abundant number, since it is smaller than the sum of its proper divisors (120164340).

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

60005580 is a wasteful number, since it uses less digits than its factorization.

60005580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 60005580 is about 7746.3268714921. The cubic root of 60005580 is about 391.4988998304.

Adding to 60005580 its reverse (8550006), we get a palindrome (68555586).

The spelling of 60005580 in words is "sixty million, five thousand, five hundred eighty".