10097568 has 192 divisors, whose sum is σ = 33868800. Its totient is φ = 2903040.

The previous prime is 10097557. The next prime is 10097573. The reversal of 10097568 is 86579001.

10097568 is a `hidden beast` number, since 1 + 0 + 0 + 97 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325713 + ... + 325743.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^10097568 is an apocalyptic number.

10097568 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 10097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10097568 is an abundant number, since it is smaller than the sum of its proper divisors (23771232).

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

10097568 is a wasteful number, since it uses less digits than its factorization.

10097568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10097568 is about 3177.6670687786. The cubic root of 10097568 is about 216.1418820913.

The spelling of 10097568 in words is "ten million, ninety-seven thousand, five hundred sixty-eight".