8133008 has 40 divisors (see below), whose sum is σ = 17274936. Its totient is φ = 3686400.

The previous prime is 8132989. The next prime is 8133017. The reversal of 8133008 is 8003318.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 7997584 = 368^2 + 2828^2 .

It is a super-2 number, since 2×8133008² = 132291638256128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12368 + ... + 13008.

Almost surely, 2^8133008 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 8133008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637468).

8133008 is an abundant number, since it is smaller than the sum of its proper divisors (9141928).

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

8133008 is a wasteful number, since it uses less digits than its factorization.

8133008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8133008 is about 2851.8429129249. The cubic root of 8133008 is about 201.1023133644.

The spelling of 8133008 in words is "eight million, one hundred thirty-three thousand, eight".