12533580 has 72 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3315072.

The previous prime is 12533569. The next prime is 12533629. The reversal of 12533580 is 8533521.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32026 + ... + 32414.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^12533580 is an apocalyptic number.

12533580 is a gapful number since it is divisible by the number (10) 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 12533580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

12533580 is an abundant number, since it is smaller than the sum of its proper divisors (25795620).

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

12533580 is a wasteful number, since it uses less digits than its factorization.

12533580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12533580 is about 3540.2796499712. The cubic root of 12533580 is about 232.2870752666.

The spelling of 12533580 in words is "twelve million, five hundred thirty-three thousand, five hundred eighty".