197864160 has 192 divisors, whose sum is σ = 690161472. Its totient is φ = 47333376.

The previous prime is 197864159. The next prime is 197864201. The reversal of 197864160 is 61468791.

197864160 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 31 ways as a sum of consecutive naturals, for example, 230452 + ... + 231308.

It is an arithmetic number, because the mean of its divisors is an integer number (3594591).

Almost surely, 2^197864160 is an apocalyptic number.

197864160 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 197864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736).

197864160 is an abundant number, since it is smaller than the sum of its proper divisors (492297312).

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

197864160 is a wasteful number, since it uses less digits than its factorization.

197864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 197864160 is about 14066.4195870875. The cubic root of 197864160 is about 582.7143482237.

The spelling of 197864160 in words is "one hundred ninety-seven million, eight hundred sixty-four thousand, one hundred sixty".