12588480 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 3179520.

The previous prime is 12588479. The next prime is 12588481. The reversal of 12588480 is 8488521.

It is an interprime number because it is at equal distance from previous prime (12588479) and next prime (12588481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267817 + ... + 267863.

Almost surely, 2^12588480 is an apocalyptic number.

12588480 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 12588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

12588480 is an abundant number, since it is smaller than the sum of its proper divisors (34228800).

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

12588480 is a wasteful number, since it uses less digits than its factorization.

12588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12588480 is about 3548.0248026191. The cubic root of 12588480 is about 232.6257384387.

The spelling of 12588480 in words is "twelve million, five hundred eighty-eight thousand, four hundred eighty".