12824580 has 48 divisors (see below), whose sum is σ = 36114624. Its totient is φ = 3400320.

The previous prime is 12824551. The next prime is 12824597. The reversal of 12824580 is 8542821.

12824580 is a nontrivial binomial coefficient, being equal to C(5065, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12154 + ... + 13166.

It is an arithmetic number, because the mean of its divisors is an integer number (752388).

Almost surely, 2^12824580 is an apocalyptic number.

12824580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12824580 is the 5064-th triangular number.

It is an amenable number.

12824580 is an abundant number, since it is smaller than the sum of its proper divisors (23290044).

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

12824580 is a wasteful number, since it uses less digits than its factorization.

12824580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12824580 is about 3581.1422758667. The cubic root of 12824580 is about 234.0710573888.

The spelling of 12824580 in words is "twelve million, eight hundred twenty-four thousand, five hundred eighty".