13585380 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3225600.

The previous prime is 13585379. The next prime is 13585417. The reversal of 13585380 is 8358531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19030 + ... + 19730.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^13585380 is an apocalyptic number.

13585380 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 13585380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13585380 is an abundant number, since it is smaller than the sum of its proper divisors (28871580).

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

13585380 is a wasteful number, since it uses less digits than its factorization.

13585380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 13585380 is about 3685.8350478555. The cubic root of 13585380 is about 238.6110747558.

The spelling of 13585380 in words is "thirteen million, five hundred eighty-five thousand, three hundred eighty".