197568900 has 216 divisors, whose sum is σ = 675347400. Its totient is φ = 48107520.

The previous prime is 197568841. The next prime is 197568907. The reversal of 197568900 is 9865791.

It can be written as a sum of positive squares in 12 ways, for example, as 278784 + 197290116 = 528^2 + 14046^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (197568907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565926 + ... + 566274.

Almost surely, 2^197568900 is an apocalyptic number.

197568900 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 197568900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337673700).

197568900 is an abundant number, since it is smaller than the sum of its proper divisors (477778500).

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

197568900 is a wasteful number, since it uses less digits than its factorization.

197568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 197568900 is about 14055.9204607880. The cubic root of 197568900 is about 582.4243548426.

The spelling of 197568900 in words is "one hundred ninety-seven million, five hundred sixty-eight thousand, nine hundred".