8625968 has 40 divisors (see below), whose sum is σ = 18207168. Its totient is φ = 3935232.

The previous prime is 8625961. The next prime is 8625973. The reversal of 8625968 is 8695268.

It is a happy number.

It is a Cunningham number, because it is equal to 2937²-1.

It is a d-powerful number, because it can be written as 8² + 6 + 2¹⁶ + 5⁴ + 9⁷ + 6⁸ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (8625961) 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 7 ways as a sum of consecutive naturals, for example, 23321 + ... + 23687.

Almost surely, 2^8625968 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 8625968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103584).

8625968 is an abundant number, since it is smaller than the sum of its proper divisors (9581200).

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

8625968 is a wasteful number, since it uses less digits than its factorization.

8625968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 8625968 is about 2936.9998297583. Note that the first 3 decimals coincide. The cubic root of 8625968 is about 205.0859683060.

The spelling of 8625968 in words is "eight million, six hundred twenty-five thousand, nine hundred sixty-eight".