197552160 has 288 divisors, whose sum is σ = 742171248. Its totient is φ = 47554560.

The previous prime is 197552153. The next prime is 197552161. The reversal of 197552160 is 61255791.

197552160 is a `hidden beast` number, since 1 + 9 + 75 + 521 + 60 = 666.

197552160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 38489616 + 159062544 = 6204^2 + 12612^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (197552161) 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 47 ways as a sum of consecutive naturals, for example, 1141834 + ... + 1142006.

Almost surely, 2^197552160 is an apocalyptic number.

197552160 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 197552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371085624).

197552160 is an abundant number, since it is smaller than the sum of its proper divisors (544619088).

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

197552160 is a wasteful number, since it uses less digits than its factorization.

197552160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 197552160 is about 14055.3249695622. The cubic root of 197552160 is about 582.4079047854.

The spelling of 197552160 in words is "one hundred ninety-seven million, five hundred fifty-two thousand, one hundred sixty".