13504000 has 80 divisors (see below), whose sum is σ = 33832656. Its totient is φ = 5376000.

The previous prime is 13503991. The next prime is 13504033. The reversal of 13504000 is 40531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

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, 63895 + ... + 64105.

Almost surely, 2^13504000 is an apocalyptic number.

13504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916328).

13504000 is an abundant number, since it is smaller than the sum of its proper divisors (20328656).

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

13504000 is an frugal number, since it uses more digits than its factorization.

13504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13504000 is about 3674.7789049139. The cubic root of 13504000 is about 238.1336725256.

Adding to 13504000 its reverse (40531), we get a palindrome (13544531).

The spelling of 13504000 in words is "thirteen million, five hundred four thousand".