13786960 has 40 divisors (see below), whose sum is σ = 34970976. Its totient is φ = 5013120.

The previous prime is 13786957. The next prime is 13786963. The reversal of 13786960 is 6968731.

13786960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13786957) and next prime (13786963).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13786963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6954 + ... + 8713.

Almost surely, 2^13786960 is an apocalyptic number.

13786960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13786960 is an abundant number, since it is smaller than the sum of its proper divisors (21184016).

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

13786960 is a wasteful number, since it uses less digits than its factorization.

13786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15691 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 13786960 is about 3713.0795843881. The cubic root of 13786960 is about 239.7854564180.

It can be divided in two parts, 1378 and 6960, that added together give a palindrome (8338).

The spelling of 13786960 in words is "thirteen million, seven hundred eighty-six thousand, nine hundred sixty".