13649904 has 80 divisors (see below), whose sum is σ = 41267200. Its totient is φ = 4307904.

The previous prime is 13649897. The next prime is 13649917. The reversal of 13649904 is 40994631.

13649904 is a `hidden beast` number, since 1 + 3 + 649 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7377 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (515840).

Almost surely, 2^13649904 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 13649904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633600).

13649904 is an abundant number, since it is smaller than the sum of its proper divisors (27617296).

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

13649904 is a wasteful number, since it uses less digits than its factorization.

13649904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13649904 is about 3694.5776483923. The cubic root of 13649904 is about 238.9882407571.

The spelling of 13649904 in words is "thirteen million, six hundred forty-nine thousand, nine hundred four".