13430688 has 48 divisors (see below), whose sum is σ = 36400896. Its totient is φ = 4331520.

The previous prime is 13430687. The next prime is 13430699. The reversal of 13430688 is 88603431.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13430687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 5232.

It is an arithmetic number, because the mean of its divisors is an integer number (758352).

Almost surely, 2^13430688 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 13430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200448).

13430688 is an abundant number, since it is smaller than the sum of its proper divisors (22970208).

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

13430688 is a wasteful number, since it uses less digits than its factorization.

13430688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4549 counting only the distinct ones).

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

The square root of 13430688 is about 3664.7903077802. The cubic root of 13430688 is about 237.7019549068.

The spelling of 13430688 in words is "thirteen million, four hundred thirty thousand, six hundred eighty-eight".