13488720 has 240 divisors, whose sum is σ = 51568128. Its totient is φ = 2903040.

The previous prime is 13488719. The next prime is 13488737. The reversal of 13488720 is 2788431.

13488720 = T₆₃ + T₆₄ + ... + T₄₃₂.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364542 + ... + 364578.

Almost surely, 2^13488720 is an apocalyptic number.

13488720 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 13488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25784064).

13488720 is an abundant number, since it is smaller than the sum of its proper divisors (38079408).

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

13488720 is a wasteful number, since it uses less digits than its factorization.

13488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13488720 is about 3672.6992798213. The cubic root of 13488720 is about 238.0438212274.

The spelling of 13488720 in words is "thirteen million, four hundred eighty-eight thousand, seven hundred twenty".