8957952 has 104 divisors (see below), whose sum is σ = 26866480. Its totient is φ = 2985984.

The previous prime is 8957917. The next prime is 8957957. The reversal of 8957952 is 2597598.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (3!)⁵ ⋅ 2!.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=144.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (226800) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 8957898 and 8957907.

It is not an unprimeable number, because it can be changed into a prime (8957957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985983 + 2985984 + 2985985.

Almost surely, 2^8957952 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 8957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433240).

8957952 is an abundant number, since it is smaller than the sum of its proper divisors (17908528).

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

8957952 is an frugal number, since it uses more digits than its factorization.

8957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 5 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 8957952 is about 2992.9837954790. The cubic root of 8957952 is about 207.6839381243.

The spelling of 8957952 in words is "eight million, nine hundred fifty-seven thousand, nine hundred fifty-two".