12580480 has 64 divisors (see below), whose sum is σ = 32827680. Its totient is φ = 4572160.

The previous prime is 12580439. The next prime is 12580483. The reversal of 12580480 is 8408521.

12580480 = 451² + 452² + ... + 505².

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12580483) 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, 6147 + ... + 7933.

Almost surely, 2^12580480 is an apocalyptic number.

12580480 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 12580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413840).

12580480 is an abundant number, since it is smaller than the sum of its proper divisors (20247200).

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

12580480 is a wasteful number, since it uses less digits than its factorization.

12580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 12580480 is about 3546.8972356131. The cubic root of 12580480 is about 232.5764499815.

The spelling of 12580480 in words is "twelve million, five hundred eighty thousand, four hundred eighty".