13538580 has 96 divisors (see below), whose sum is σ = 42069888. Its totient is φ = 3225600.

The previous prime is 13538573. The next prime is 13538597. The reversal of 13538580 is 8583531.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48040 + ... + 48320.

It is an arithmetic number, because the mean of its divisors is an integer number (438228).

Almost surely, 2^13538580 is an apocalyptic number.

13538580 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 13538580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034944).

13538580 is an abundant number, since it is smaller than the sum of its proper divisors (28531308).

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

13538580 is a wasteful number, since it uses less digits than its factorization.

13538580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

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

The square root of 13538580 is about 3679.4809416547. The cubic root of 13538580 is about 238.3367640412.

The spelling of 13538580 in words is "thirteen million, five hundred thirty-eight thousand, five hundred eighty".