13767936 has 144 divisors (see below), whose sum is σ = 45327744. Its totient is φ = 3612672.

The previous prime is 13767917. The next prime is 13767947. The reversal of 13767936 is 63976731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69790 + ... + 69986.

It is an arithmetic number, because the mean of its divisors is an integer number (314776).

Almost surely, 2^13767936 is an apocalyptic number.

13767936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663872).

13767936 is an abundant number, since it is smaller than the sum of its proper divisors (31559808).

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

13767936 is a wasteful number, since it uses less digits than its factorization.

13767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 13767936 is about 3710.5169451169. The cubic root of 13767936 is about 239.6751159638.

The spelling of 13767936 in words is "thirteen million, seven hundred sixty-seven thousand, nine hundred thirty-six".