197568000 has 480 divisors, whose sum is σ = 829857600. Its totient is φ = 45158400.

The previous prime is 197567989. The next prime is 197568011. The reversal of 197568000 is 865791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

197568000 is a `hidden beast` number, since 1 + 97 + 568 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (197567989) and next prime (197568011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×197568000² = 78066229248000000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 28223997 + ... + 28224003.

It is an arithmetic number, because the mean of its divisors is an integer number (1728870).

Almost surely, 2^197568000 is an apocalyptic number.

197568000 is a gapful number since it is divisible by the number (10) 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 197568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414928800).

197568000 is an abundant number, since it is smaller than the sum of its proper divisors (632289600).

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

197568000 is an frugal number, since it uses more digits than its factorization.

197568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

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

The square root of 197568000 is about 14055.8884457725. Note that the first 3 decimals coincide. The cubic root of 197568000 is about 582.4234704545.

The spelling of 197568000 in words is "one hundred ninety-seven million, five hundred sixty-eight thousand".