13768832 has 96 divisors (see below), whose sum is σ = 34728960. Its totient is φ = 5322240.

The previous prime is 13768819. The next prime is 13768837. The reversal of 13768832 is 23886731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13768837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108353 + ... + 108479.

It is an arithmetic number, because the mean of its divisors is an integer number (361760).

Almost surely, 2^13768832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364480).

13768832 is an abundant number, since it is smaller than the sum of its proper divisors (20960128).

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

13768832 is a wasteful number, since it uses less digits than its factorization.

13768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 13768832 is about 3710.6376810462. The cubic root of 13768832 is about 239.6803151030.

The spelling of 13768832 in words is "thirteen million, seven hundred sixty-eight thousand, eight hundred thirty-two".