8620880268 has 576 divisors, whose sum is σ = 30077526528. Its totient is φ = 1881169920.

The previous prime is 8620880227. The next prime is 8620880287.

8620880268 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52888755 + ... + 52888917.

It is an arithmetic number, because the mean of its divisors is an integer number (52217928).

Almost surely, 2^8620880268 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 8620880268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038763264).

8620880268 is an abundant number, since it is smaller than the sum of its proper divisors (21456646260).

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

8620880268 is a wasteful number, since it uses less digits than its factorization.

8620880268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 8620880268 is about 92848.6955643427. The cubic root of 8620880268 is about 2050.4563939630.

It can be divided in two parts, 8620 and 880268, that added together give a palindrome (888888).

The spelling of 8620880268 in words is "eight billion, six hundred twenty million, eight hundred eighty thousand, two hundred sixty-eight".