8007264 has 36 divisors (see below), whose sum is σ = 22771476. Its totient is φ = 2668992.

The previous prime is 8007229. The next prime is 8007271. The reversal of 8007264 is 4627008.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13614 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (632541).

Almost surely, 2^8007264 is an apocalyptic number.

It is an amenable number.

8007264 is an abundant number, since it is smaller than the sum of its proper divisors (14764212).

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

8007264 is a wasteful number, since it uses less digits than its factorization.

8007264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27819 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8007264 is about 2829.7109393010. The cubic root of 8007264 is about 200.0605150211.

The spelling of 8007264 in words is "eight million, seven thousand, two hundred sixty-four".