13530720 has 96 divisors (see below), whose sum is σ = 48722688. Its totient is φ = 3091968.

The previous prime is 13530709. The next prime is 13530757. The reversal of 13530720 is 2703531.

It is a happy number.

13530720 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (507528).

Almost surely, 2^13530720 is an apocalyptic number.

13530720 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 13530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361344).

13530720 is an abundant number, since it is smaller than the sum of its proper divisors (35191968).

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

13530720 is a wasteful number, since it uses less digits than its factorization.

13530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13530720 is about 3678.4127011525. The cubic root of 13530720 is about 238.2906319355.

The spelling of 13530720 in words is "thirteen million, five hundred thirty thousand, seven hundred twenty".