10025568 has 72 divisors (see below), whose sum is σ = 32589648. Its totient is φ = 2863872.

The previous prime is 10025567. The next prime is 10025569. The reversal of 10025568 is 86552001.

10025568 is a `hidden beast` number, since 100 + 2 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10025567) and next prime (10025569).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025567) 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 11 ways as a sum of consecutive naturals, for example, 471 + ... + 4502.

It is an arithmetic number, because the mean of its divisors is an integer number (452634).

Almost surely, 2^10025568 is an apocalyptic number.

10025568 is a gapful number since it is divisible by the number (18) 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 10025568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294824).

10025568 is an abundant number, since it is smaller than the sum of its proper divisors (22564080).

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

10025568 is a wasteful number, since it uses less digits than its factorization.

10025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10025568 is about 3166.3177351618. The cubic root of 10025568 is about 215.6269280231.

Adding to 10025568 its reverse (86552001), we get a palindrome (96577569).

The spelling of 10025568 in words is "ten million, twenty-five thousand, five hundred sixty-eight".