13783760 has 20 divisors (see below), whose sum is σ = 32047428. Its totient is φ = 5513472.

The previous prime is 13783751. The next prime is 13783771. The reversal of 13783760 is 6738731.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 12334144 = 1204^2 + 3512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13783760.

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, 86069 + ... + 86228.

Almost surely, 2^13783760 is an apocalyptic number.

13783760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13783760 is an abundant number, since it is smaller than the sum of its proper divisors (18263668).

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

13783760 is a wasteful number, since it uses less digits than its factorization.

13783760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172310 (or 172304 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 13783760 is about 3712.6486502226. The cubic root of 13783760 is about 239.7669033110.

The spelling of 13783760 in words is "thirteen million, seven hundred eighty-three thousand, seven hundred sixty".