13488000 has 128 divisors (see below), whose sum is σ = 44871840. Its totient is φ = 3584000.

The previous prime is 13487993. The next prime is 13488001. The reversal of 13488000 is 88431.

13488000 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 (128).

It is a super-2 number, since 2×13488000² = 363852288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47860 + ... + 48140.

Almost surely, 2^13488000 is an apocalyptic number.

13488000 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 13488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22435920).

13488000 is an abundant number, since it is smaller than the sum of its proper divisors (31383840).

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

13488000 is an equidigital number, since it uses as much as digits as its factorization.

13488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13488000 is about 3672.6012579642. The cubic root of 13488000 is about 238.0395857230.

The spelling of 13488000 in words is "thirteen million, four hundred eighty-eight thousand".