13832880 has 40 divisors (see below), whose sum is σ = 42882672. Its totient is φ = 3688704.

The previous prime is 13832873. The next prime is 13832881. The reversal of 13832880 is 8823831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×13832880⁴ (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13832881) 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, 28579 + ... + 29058.

Almost surely, 2^13832880 is an apocalyptic number.

13832880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13832880 is an abundant number, since it is smaller than the sum of its proper divisors (29049792).

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

13832880 is a wasteful number, since it uses less digits than its factorization.

13832880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57653 (or 57647 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13832880 is about 3719.2579905137. The cubic root of 13832880 is about 240.0513778894.

The spelling of 13832880 in words is "thirteen million, eight hundred thirty-two thousand, eight hundred eighty".