197882496 has 192 divisors, whose sum is σ = 664485120. Its totient is φ = 55351296.

The previous prime is 197882471. The next prime is 197882497. The reversal of 197882496 is 694288791.

197882496 is a `hidden beast` number, since 1 + 9 + 78 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (197882497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 427161 + ... + 427623.

It is an arithmetic number, because the mean of its divisors is an integer number (3460860).

Almost surely, 2^197882496 is an apocalyptic number.

197882496 is a gapful number since it is divisible by the number (16) 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 197882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332242560).

197882496 is an abundant number, since it is smaller than the sum of its proper divisors (466602624).

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

197882496 is a wasteful number, since it uses less digits than its factorization.

197882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 197882496 is about 14067.0713369912. The cubic root of 197882496 is about 582.7323476436.

The spelling of 197882496 in words is "one hundred ninety-seven million, eight hundred eighty-two thousand, four hundred ninety-six".