8075952 has 60 divisors (see below), whose sum is σ = 23938200. Its totient is φ = 2532864.

The previous prime is 8075939. The next prime is 8075957. The reversal of 8075952 is 2595708.

8075952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8075957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799 + ... + 4097.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 2^8075952 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 8075952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969100).

8075952 is an abundant number, since it is smaller than the sum of its proper divisors (15862248).

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

8075952 is a wasteful number, since it uses less digits than its factorization.

8075952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 8075952 is about 2841.8219507914. The cubic root of 8075952 is about 200.6309408087.

The spelling of 8075952 in words is "eight million, seventy-five thousand, nine hundred fifty-two".