13785168 has 20 divisors (see below), whose sum is σ = 35611808. Its totient is φ = 4595040.

The previous prime is 13785133. The next prime is 13785169. The reversal of 13785168 is 86158731.

It is a super-4 number, since 4×13785168⁴ (a number of 30 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785169) 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, 143548 + ... + 143643.

Almost surely, 2^13785168 is an apocalyptic number.

It is an amenable number.

13785168 is an abundant number, since it is smaller than the sum of its proper divisors (21826640).

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

13785168 is a wasteful number, since it uses less digits than its factorization.

13785168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287202 (or 287196 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 13785168 is about 3712.8382674175. The cubic root of 13785168 is about 239.7750670318.

The spelling of 13785168 in words is "thirteen million, seven hundred eighty-five thousand, one hundred sixty-eight".