13520032 has 48 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 6135808.

The previous prime is 13520011. The next prime is 13520047. The reversal of 13520032 is 23002531.

It can be written as a sum of positive squares in 4 ways, for example, as 13512976 + 7056 = 3676^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13519988 and 13520015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15348 + ... + 16204.

Almost surely, 2^13520032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580).

13520032 is an abundant number, since it is smaller than the sum of its proper divisors (15669128).

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

13520032 is a wasteful number, since it uses less digits than its factorization.

13520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13520032 is about 3676.9596135938. The cubic root of 13520032 is about 238.2278729900.

Adding to 13520032 its reverse (23002531), we get a palindrome (36522563).

It can be divided in two parts, 135200 and 32, that multiplied together give a square (4326400 = 2080²).

The spelling of 13520032 in words is "thirteen million, five hundred twenty thousand, thirty-two".