8007296 has 64 divisors (see below), whose sum is σ = 17919360. Its totient is φ = 3562240.

The previous prime is 8007283. The next prime is 8007299. The reversal of 8007296 is 6927008.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8007299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170345 + ... + 170391.

It is an arithmetic number, because the mean of its divisors is an integer number (279990).

Almost surely, 2^8007296 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 8007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959680).

8007296 is an abundant number, since it is smaller than the sum of its proper divisors (9912064).

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

8007296 is an equidigital number, since it uses as much as digits as its factorization.

8007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 8007296 is about 2829.7165935832. The cubic root of 8007296 is about 200.0607815262.

The spelling of 8007296 in words is "eight million, seven thousand, two hundred ninety-six".