13630848 has 128 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 3532800.

The previous prime is 13630831. The next prime is 13630861. The reversal of 13630848 is 84803631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29338 + ... + 29798.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^13630848 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 13630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

13630848 is an abundant number, since it is smaller than the sum of its proper divisors (31608192).

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

13630848 is a wasteful number, since it uses less digits than its factorization.

13630848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13630848 is about 3691.9978331521. The cubic root of 13630848 is about 238.8769754850.

The spelling of 13630848 in words is "thirteen million, six hundred thirty thousand, eight hundred forty-eight".