13575768 has 64 divisors (see below), whose sum is σ = 35665920. Its totient is φ = 4300800.

The previous prime is 13575763. The next prime is 13575769. The reversal of 13575768 is 86757531.

13575768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13575763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52696 + ... + 52952.

It is an arithmetic number, because the mean of its divisors is an integer number (557280).

Almost surely, 2^13575768 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 13575768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832960).

13575768 is an abundant number, since it is smaller than the sum of its proper divisors (22090152).

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

13575768 is a wasteful number, since it uses less digits than its factorization.

13575768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 13575768 is about 3684.5309063706. The cubic root of 13575768 is about 238.5547870216.

The spelling of 13575768 in words is "thirteen million, five hundred seventy-five thousand, seven hundred sixty-eight".