13650 has 48 divisors (see below), whose sum is σ = 41664. Its totient is φ = 2880.

The previous prime is 13649. The next prime is 13669. The reversal of 13650 is 5631.

13650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2¹³⁶⁵⁰ is an apocalyptic number.

13650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

13650 is an abundant number, since it is smaller than the sum of its proper divisors (28014).

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

13650 is a wasteful number, since it uses less digits than its factorization.

13650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13650 is about 116.8332144555. The cubic root of 13650 is about 23.8988801025.

The spelling of 13650 in words is "thirteen thousand, six hundred fifty".