13629042 has 48 divisors (see below), whose sum is σ = 35530560. Its totient is φ = 3688416.

The previous prime is 13629017. The next prime is 13629067. The reversal of 13629042 is 24092631.

It is an interprime number because it is at equal distance from previous prime (13629017) and next prime (13629067).

It is a junction number, because it is equal to n+sod(n) for n = 13628997 and 13629015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (740220).

Almost surely, 2^13629042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13629042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765280).

13629042 is an abundant number, since it is smaller than the sum of its proper divisors (21901518).

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

13629042 is a wasteful number, since it uses less digits than its factorization.

13629042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13629042 is about 3691.7532420247. The cubic root of 13629042 is about 238.8664251297.

It can be divided in two parts, 1362 and 9042, that added together give a square (10404 = 102²).

The spelling of 13629042 in words is "thirteen million, six hundred twenty-nine thousand, forty-two".