8952768 has 140 divisors (see below), whose sum is σ = 29135832. Its totient is φ = 2695680.

The previous prime is 8952767. The next prime is 8952791. The reversal of 8952768 is 8672598.

Its product of digits (241920) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8952767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56946 + ... + 57102.

Almost surely, 2^8952768 is an apocalyptic number.

8952768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567916).

8952768 is an abundant number, since it is smaller than the sum of its proper divisors (20183064).

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

8952768 is a wasteful number, since it uses less digits than its factorization.

8952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 8952768 is about 2992.1176447459. The cubic root of 8952768 is about 207.6438679056.

It can be divided in two parts, 895 and 2768, that added together give a palindrome (3663).

The spelling of 8952768 in words is "eight million, nine hundred fifty-two thousand, seven hundred sixty-eight".