13632768 has 108 divisors (see below), whose sum is σ = 40362868. Its totient is φ = 4423680.

The previous prime is 13632757. The next prime is 13632769. The reversal of 13632768 is 86723631.

It is a happy number.

13632768 is a `hidden beast` number, since 13 + 632 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 10969344 = 1632^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140496 + ... + 140592.

Almost surely, 2^13632768 is an apocalyptic number.

13632768 is a gapful number since it is divisible by the number (18) 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 13632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20181434).

13632768 is an abundant number, since it is smaller than the sum of its proper divisors (26730100).

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

13632768 is an equidigital number, since it uses as much as digits as its factorization.

13632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13632768 is about 3692.2578458174. The cubic root of 13632768 is about 238.8881907878. Note that the first 3 decimals are identical.

It can be divided in two parts, 13632 and 768, that added together give a square (14400 = 120²).

The spelling of 13632768 in words is "thirteen million, six hundred thirty-two thousand, seven hundred sixty-eight".