13186560 has 160 divisors (see below), whose sum is σ = 45077472. Its totient is φ = 3276800.

The previous prime is 13186549. The next prime is 13186583. The reversal of 13186560 is 6568131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130510 + ... + 130610.

Almost surely, 2^13186560 is an apocalyptic number.

13186560 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 13186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538736).

13186560 is an abundant number, since it is smaller than the sum of its proper divisors (31890912).

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

13186560 is a wasteful number, since it uses less digits than its factorization.

13186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13186560 is about 3631.3303347396. The cubic root of 13186560 is about 236.2529128165.

The spelling of 13186560 in words is "thirteen million, one hundred eighty-six thousand, five hundred sixty".