13533660 has 144 divisors (see below), whose sum is σ = 49061376. Its totient is φ = 2952576.

The previous prime is 13533629. The next prime is 13533673. The reversal of 13533660 is 6633531.

13533660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28747 + ... + 29213.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 2^13533660 is an apocalyptic number.

13533660 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 13533660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688).

13533660 is an abundant number, since it is smaller than the sum of its proper divisors (35527716).

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

13533660 is a wasteful number, since it uses less digits than its factorization.

13533660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 13533660 is about 3678.8123083408. The cubic root of 13533660 is about 238.3078895469.

The spelling of 13533660 in words is "thirteen million, five hundred thirty-three thousand, six hundred sixty".