8268817000 has 128 divisors (see below), whose sum is σ = 20549168640. Its totient is φ = 3103564800.

The previous prime is 8268816991. The next prime is 8268817003. The reversal of 8268817000 is 7188628.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8268817003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8550517 + ... + 8551483.

It is an arithmetic number, because the mean of its divisors is an integer number (160540380).

Almost surely, 2^8268817000 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 8268817000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274584320).

8268817000 is an abundant number, since it is smaller than the sum of its proper divisors (12280351640).

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

8268817000 is a wasteful number, since it uses less digits than its factorization.

8268817000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 8268817000 is about 90933.0358010773. The cubic root of 8268817000 is about 2022.1550865062.

The spelling of 8268817000 in words is "eight billion, two hundred sixty-eight million, eight hundred seventeen thousand".