197208960 has 128 divisors (see below), whose sum is σ = 677043360. Its totient is φ = 48537600.

The previous prime is 197208953. The next prime is 197208967. The reversal of 197208960 is 69802791.

197208960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197208953) and next prime (197208967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197208967) 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 15 ways as a sum of consecutive naturals, for example, 21010 + ... + 28910.

Almost surely, 2^197208960 is an apocalyptic number.

197208960 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 197208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338521680).

197208960 is an abundant number, since it is smaller than the sum of its proper divisors (479834400).

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

197208960 is a wasteful number, since it uses less digits than its factorization.

197208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 197208960 is about 14043.1107664933. The cubic root of 197208960 is about 582.0704441131.

It can be divided in two parts, 19720 and 8960, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 197208960 in words is "one hundred ninety-seven million, two hundred eight thousand, nine hundred sixty".