13188560 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 4108800.

The previous prime is 13188557. The next prime is 13188587. The reversal of 13188560 is 6588131.

13188560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13188560² = 347876229747200, which contains 22 as substring.

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, 5090 + ... + 7230.

Almost surely, 2^13188560 is an apocalyptic number.

13188560 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 13188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

13188560 is an abundant number, since it is smaller than the sum of its proper divisors (25058992).

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

13188560 is a wasteful number, since it uses less digits than its factorization.

13188560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 13188560 is about 3631.6057054697. The cubic root of 13188560 is about 236.2648563393.

The spelling of 13188560 in words is "thirteen million, one hundred eighty-eight thousand, five hundred sixty".