13778560 has 32 divisors (see below), whose sum is σ = 32940900. Its totient is φ = 5511168.

The previous prime is 13778543. The next prime is 13778563. The reversal of 13778560 is 6587731.

It can be written as a sum of positive squares in 2 ways, for example, as 12902464 + 876096 = 3592^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13778563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10125 + ... + 11404.

Almost surely, 2^13778560 is an apocalyptic number.

13778560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13778560 is an abundant number, since it is smaller than the sum of its proper divisors (19162340).

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

13778560 is an equidigital number, since it uses as much as digits as its factorization.

13778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21548 (or 21536 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 13778560 is about 3711.9482755017. The cubic root of 13778560 is about 239.7367483867.

The spelling of 13778560 in words is "thirteen million, seven hundred seventy-eight thousand, five hundred sixty".