12554880 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3084288.

The previous prime is 12554879. The next prime is 12554887. The reversal of 12554880 is 8845521.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12554887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24709 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^12554880 is an apocalyptic number.

12554880 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 12554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

12554880 is an abundant number, since it is smaller than the sum of its proper divisors (30627840).

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

12554880 is a wasteful number, since it uses less digits than its factorization.

12554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 12554880 is about 3543.2866099146. The cubic root of 12554880 is about 232.4185863638.

The spelling of 12554880 in words is "twelve million, five hundred fifty-four thousand, eight hundred eighty".