197686944 has 288 divisors, whose sum is σ = 730154880. Its totient is φ = 49268736.

The previous prime is 197686919. The next prime is 197686961. The reversal of 197686944 is 449686791.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 497754 + ... + 498150.

It is an arithmetic number, because the mean of its divisors is an integer number (2535260).

Almost surely, 2^197686944 is an apocalyptic number.

197686944 is a gapful number since it is divisible by the number (14) 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 197686944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365077440).

197686944 is an abundant number, since it is smaller than the sum of its proper divisors (532467936).

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

197686944 is a wasteful number, since it uses less digits than its factorization.

197686944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 197686944 is about 14060.1189184160. The cubic root of 197686944 is about 582.5403279072.

The spelling of 197686944 in words is "one hundred ninety-seven million, six hundred eighty-six thousand, nine hundred forty-four".