8144768 has 64 divisors (see below), whose sum is σ = 18176400. Its totient is φ = 3612672.

The previous prime is 8144761. The next prime is 8144777. The reversal of 8144768 is 8674418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41246 + ... + 41442.

Almost surely, 2^8144768 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 8144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088200).

8144768 is an abundant number, since it is smaller than the sum of its proper divisors (10031632).

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

8144768 is a wasteful number, since it uses less digits than its factorization.

8144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 8144768 is about 2853.9039927790. The cubic root of 8144768 is about 201.1991952823.

The spelling of 8144768 in words is "eight million, one hundred forty-four thousand, seven hundred sixty-eight".