13027032 has 96 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3935232.

The previous prime is 13027031. The next prime is 13027051. The reversal of 13027032 is 23072031.

13027032 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 Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13026996 and 13027014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35313 + ... + 35679.

It is an arithmetic number, because the mean of its divisors is an integer number (403650).

Almost surely, 2^13027032 is an apocalyptic number.

13027032 is a gapful number since it is divisible by the number (12) 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 13027032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

13027032 is an abundant number, since it is smaller than the sum of its proper divisors (25723368).

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

13027032 is a wasteful number, since it uses less digits than its factorization.

13027032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13027032 is about 3609.2979926850. The cubic root of 13027032 is about 235.2963335772.

Adding to 13027032 its reverse (23072031), we get a palindrome (36099063).

The spelling of 13027032 in words is "thirteen million, twenty-seven thousand, thirty-two".