12584880 has 240 divisors, whose sum is σ = 52925184. Its totient is φ = 2603520.

The previous prime is 12584863. The next prime is 12584881. The reversal of 12584880 is 8848521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12584880² = 316758409228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12584881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55327 + ... + 55553.

Almost surely, 2^12584880 is an apocalyptic number.

12584880 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 12584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462592).

12584880 is an abundant number, since it is smaller than the sum of its proper divisors (40340304).

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

12584880 is a wasteful number, since it uses less digits than its factorization.

12584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

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

The square root of 12584880 is about 3547.5174418176. The cubic root of 12584880 is about 232.6035612179.

The spelling of 12584880 in words is "twelve million, five hundred eighty-four thousand, eight hundred eighty".