13763568 has 160 divisors (see below), whose sum is σ = 45997056. Its totient is φ = 3446784.

The previous prime is 13763551. The next prime is 13763611. The reversal of 13763568 is 86536731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100396 + ... + 100532.

Almost surely, 2^13763568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13763568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998528).

13763568 is an abundant number, since it is smaller than the sum of its proper divisors (32233488).

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

13763568 is a wasteful number, since it uses less digits than its factorization.

13763568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 13763568 is about 3709.9283011940. The cubic root of 13763568 is about 239.6497669297.

The spelling of 13763568 in words is "thirteen million, seven hundred sixty-three thousand, five hundred sixty-eight".