8672768 has 40 divisors (see below), whose sum is σ = 18675888. Its totient is φ = 3999744.

The previous prime is 8672767. The next prime is 8672773.

It is a happy number.

8672768 is nontrivially palindromic in base 10.

It is a d-powerful number, because it can be written as 8 + 6⁴ + 7 + 2²³ + 7⁴ + 6⁷ + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6005 + ... + 7307.

Almost surely, 2^8672768 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 8672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337944).

8672768 is an abundant number, since it is smaller than the sum of its proper divisors (10003120).

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

8672768 is a wasteful number, since it uses less digits than its factorization.

8672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1318 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 8672768 is about 2944.9563664000. The cubic root of 8672768 is about 205.4561960297.

The spelling of 8672768 in words is "eight million, six hundred seventy-two thousand, seven hundred sixty-eight".