13629088 has 48 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 5990400.

The previous prime is 13629079. The next prime is 13629103. The reversal of 13629088 is 88092631.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10288 + ... + 11536.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 2^13629088 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 13629088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

13629088 is an abundant number, since it is smaller than the sum of its proper divisors (16610912).

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

13629088 is a wasteful number, since it uses less digits than its factorization.

13629088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 13629088 is about 3691.7594721217. The cubic root of 13629088 is about 238.8666938657.

The spelling of 13629088 in words is "thirteen million, six hundred twenty-nine thousand, eighty-eight".