12980832 has 48 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4138112.

The previous prime is 12980783. The next prime is 12980837. The reversal of 12980832 is 23808921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12980793 and 12980802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980837) 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, 732 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^12980832 is an apocalyptic number.

12980832 is a gapful number since it is divisible by the number (12) 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 12980832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12980832 is an abundant number, since it is smaller than the sum of its proper divisors (22581408).

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

12980832 is a wasteful number, since it uses less digits than its factorization.

12980832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12980832 is about 3602.8921715755. The cubic root of 12980832 is about 235.0178468414.

The spelling of 12980832 in words is "twelve million, nine hundred eighty thousand, eight hundred thirty-two".