8673768 has 48 divisors (see below), whose sum is σ = 23945220. Its totient is φ = 2835456.

The previous prime is 8673761. The next prime is 8673781.

8673768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7717284 + 956484 = 2778^2 + 978^2 .

It is not an unprimeable number, because it can be changed into a prime (8673761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 4952.

Almost surely, 2^8673768 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 8673768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972610).

8673768 is an abundant number, since it is smaller than the sum of its proper divisors (15271452).

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

8673768 is a wasteful number, since it uses less digits than its factorization.

8673768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2331 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 8673768 is about 2945.1261433086. The cubic root of 8673768 is about 205.4640923284.

The spelling of 8673768 in words is "eight million, six hundred seventy-three thousand, seven hundred sixty-eight".