8676768 has 96 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 2661120.

The previous prime is 8676757. The next prime is 8676769.

8676768 is nontrivially palindromic in base 10.

8676768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8676769) 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, 122173 + ... + 122243.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^8676768 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 8676768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

8676768 is an abundant number, since it is smaller than the sum of its proper divisors (15999072).

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

8676768 is a wasteful number, since it uses less digits than its factorization.

8676768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 8676768 is about 2945.6354153221. The cubic root of 8676768 is about 205.4877775836.

The spelling of 8676768 in words is "eight million, six hundred seventy-six thousand, seven hundred sixty-eight".