13578560 has 28 divisors (see below), whose sum is σ = 32334708. Its totient is φ = 5431296.

The previous prime is 13578557. The next prime is 13578577. The reversal of 13578560 is 6587531.

It can be written as a sum of positive squares in 2 ways, for example, as 6310144 + 7268416 = 2512^2 + 2696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13578560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20897 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (1154811).

Almost surely, 2^13578560 is an apocalyptic number.

13578560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13578560 is an abundant number, since it is smaller than the sum of its proper divisors (18756148).

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

13578560 is an equidigital number, since it uses as much as digits as its factorization.

13578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42450 (or 42440 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 13578560 is about 3684.9097682304. The cubic root of 13578560 is about 238.5711396707.

The spelling of 13578560 in words is "thirteen million, five hundred seventy-eight thousand, five hundred sixty".