8009952 has 24 divisors (see below), whose sum is σ = 21026376. Its totient is φ = 2669952.

The previous prime is 8009951. The next prime is 8009959. The reversal of 8009952 is 2599008.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009951) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41623 + ... + 41814.

It is an arithmetic number, because the mean of its divisors is an integer number (876099).

Almost surely, 2^8009952 is an apocalyptic number.

It is an amenable number.

8009952 is an abundant number, since it is smaller than the sum of its proper divisors (13016424).

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

8009952 is a wasteful number, since it uses less digits than its factorization.

8009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83450 (or 83442 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 8009952 is about 2830.1858596212. The cubic root of 8009952 is about 200.0828989674.

The spelling of 8009952 in words is "eight million, nine thousand, nine hundred fifty-two".