8299872 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2255616.

The previous prime is 8299793. The next prime is 8299891. The reversal of 8299872 is 2789928.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46279 + ... + 46457.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^8299872 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 8299872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8299872 is an abundant number, since it is smaller than the sum of its proper divisors (20004768).

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

8299872 is a wasteful number, since it uses less digits than its factorization.

8299872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 8299872 is about 2880.9498433676. The cubic root of 8299872 is about 202.4683443887.

It can be divided in two parts, 829 and 9872, that added together give a palindrome (10701).

The spelling of 8299872 in words is "eight million, two hundred ninety-nine thousand, eight hundred seventy-two".