13456384 has 44 divisors (see below), whose sum is σ = 28518804. Its totient is φ = 6324224.

The previous prime is 13456363. The next prime is 13456439. The reversal of 13456384 is 48365431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 8294400 = 2272^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17022 + ... + 17794.

Almost surely, 2^13456384 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 13456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259402).

13456384 is an abundant number, since it is smaller than the sum of its proper divisors (15062420).

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

13456384 is an equidigital number, since it uses as much as digits as its factorization.

13456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 13456384 is about 3668.2944265694. The cubic root of 13456384 is about 237.8534511975.

The spelling of 13456384 in words is "thirteen million, four hundred fifty-six thousand, three hundred eighty-four".