13629168 has 80 divisors (see below), whose sum is σ = 44719360. Its totient is φ = 3893184.

The previous prime is 13629167. The next prime is 13629191. The reversal of 13629168 is 86192631.

13629168 is a `hidden beast` number, since 13 + 629 + 16 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (558992).

Almost surely, 2^13629168 is an apocalyptic number.

13629168 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 13629168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359680).

13629168 is an abundant number, since it is smaller than the sum of its proper divisors (31090192).

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

13629168 is a wasteful number, since it uses less digits than its factorization.

13629168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4519 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13629168 is about 3691.7703070478. The cubic root of 13629168 is about 238.8671612312.

The spelling of 13629168 in words is "thirteen million, six hundred twenty-nine thousand, one hundred sixty-eight".