197075120 has 60 divisors (see below), whose sum is σ = 503665680. Its totient is φ = 71660160.

The previous prime is 197075119. The next prime is 197075141. The reversal of 197075120 is 21570791.

197075120 = T₁₇₄₄ + T₁₇₄₅ + ... + T₁₈₆₄.

197075120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (8394428).

Almost surely, 2^197075120 is an apocalyptic number.

197075120 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 197075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251832840).

197075120 is an abundant number, since it is smaller than the sum of its proper divisors (306590560).

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

197075120 is a wasteful number, since it uses less digits than its factorization.

197075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20394 (or 20377 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 197075120 is about 14038.3446317577. The cubic root of 197075120 is about 581.9387362051.

The spelling of 197075120 in words is "one hundred ninety-seven million, seventy-five thousand, one hundred twenty".