13431648 has 48 divisors (see below), whose sum is σ = 35498736. Its totient is φ = 4446720.

The previous prime is 13431619. The next prime is 13431661. The reversal of 13431648 is 84613431.

13431648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 16990 + ... + 17762.

It is an arithmetic number, because the mean of its divisors is an integer number (739557).

Almost surely, 2^13431648 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 13431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749368).

13431648 is an abundant number, since it is smaller than the sum of its proper divisors (22067088).

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

13431648 is a wasteful number, since it uses less digits than its factorization.

13431648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13431648 is about 3664.9212815557. The cubic root of 13431648 is about 237.7076182663.

The spelling of 13431648 in words is "thirteen million, four hundred thirty-one thousand, six hundred forty-eight".