13533520 has 160 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 3893760.

The previous prime is 13533511. The next prime is 13533539. The reversal of 13533520 is 2533531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13533491 and 13533500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041034 + ... + 1041046.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 2^13533520 is an apocalyptic number.

13533520 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 13533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

13533520 is an abundant number, since it is smaller than the sum of its proper divisors (28963760).

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

13533520 is a wasteful number, since it uses less digits than its factorization.

13533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 13533520 is about 3678.7932804114. The cubic root of 13533520 is about 238.3070678126.

The spelling of 13533520 in words is "thirteen million, five hundred thirty-three thousand, five hundred twenty".