11897568 has 72 divisors (see below), whose sum is σ = 34234200. Its totient is φ = 3919104.

The previous prime is 11897549. The next prime is 11897573. The reversal of 11897568 is 86579811.

11897568 is a `hidden beast` number, since 1 + 1 + 89 + 7 + 568 = 666.

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

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 (120960) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is an unprimeable number.

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, 31203 + ... + 31581.

It is an arithmetic number, because the mean of its divisors is an integer number (475475).

Almost surely, 2^11897568 is an apocalyptic number.

11897568 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 11897568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117100).

11897568 is an abundant number, since it is smaller than the sum of its proper divisors (22336632).

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

11897568 is a wasteful number, since it uses less digits than its factorization.

11897568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11897568 is about 3449.2851433304. The cubic root of 11897568 is about 228.2895674489.

The spelling of 11897568 in words is "eleven million, eight hundred ninety-seven thousand, five hundred sixty-eight".