12734880 has 96 divisors (see below), whose sum is σ = 41114304. Its totient is φ = 3311616.

The previous prime is 12734873. The next prime is 12734929. The reversal of 12734880 is 8843721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12734880² = 324354337228800, which contains 22 as substring.

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, 20332 + ... + 20948.

It is an arithmetic number, because the mean of its divisors is an integer number (428274).

Almost surely, 2^12734880 is an apocalyptic number.

12734880 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 12734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557152).

12734880 is an abundant number, since it is smaller than the sum of its proper divisors (28379424).

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

12734880 is a wasteful number, since it uses less digits than its factorization.

12734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 12734880 is about 3568.5963627174. The cubic root of 12734880 is about 233.5240526863.

The spelling of 12734880 in words is "twelve million, seven hundred thirty-four thousand, eight hundred eighty".