13580352 has 112 divisors (see below), whose sum is σ = 41452800. Its totient is φ = 4354560.

The previous prime is 13580341. The next prime is 13580353. The reversal of 13580352 is 25308531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13580353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49977 + ... + 50247.

Almost surely, 2^13580352 is an apocalyptic number.

13580352 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 13580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726400).

13580352 is an abundant number, since it is smaller than the sum of its proper divisors (27872448).

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

13580352 is a wasteful number, since it uses less digits than its factorization.

13580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13580352 is about 3685.1529140593. The cubic root of 13580352 is about 238.5816341727.

Adding to 13580352 its reverse (25308531), we get a palindrome (38888883).

The spelling of 13580352 in words is "thirteen million, five hundred eighty thousand, three hundred fifty-two".