8057952 has 108 divisors (see below), whose sum is σ = 26702676. Its totient is φ = 2298240.

The previous prime is 8057947. The next prime is 8057953. The reversal of 8057952 is 2597508.

8057952 is a `hidden beast` number, since 80 + 579 + 5 + 2 = 666.

8057952 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

8057952 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13827 + ... + 14397.

It is an arithmetic number, because the mean of its divisors is an integer number (247247).

Almost surely, 2^8057952 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 8057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351338).

8057952 is an abundant number, since it is smaller than the sum of its proper divisors (18644724).

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

8057952 is a wasteful number, since it uses less digits than its factorization.

8057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

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

The square root of 8057952 is about 2838.6532017843. The cubic root of 8057952 is about 200.4817718808.

It can be divided in two parts, 8057 and 952, that added together give a palindrome (9009).

The spelling of 8057952 in words is "eight million, fifty-seven thousand, nine hundred fifty-two".