197129856 has 256 divisors, whose sum is σ = 669772800. Its totient is φ = 49889280.

The previous prime is 197129833. The next prime is 197129869. The reversal of 197129856 is 658921791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744456 + ... + 1744568.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^197129856 is an apocalyptic number.

197129856 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 197129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

197129856 is an abundant number, since it is smaller than the sum of its proper divisors (472642944).

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

197129856 is a wasteful number, since it uses less digits than its factorization.

197129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The square root of 197129856 is about 14040.2940140155. The cubic root of 197129856 is about 581.9926074568.

The spelling of 197129856 in words is "one hundred ninety-seven million, one hundred twenty-nine thousand, eight hundred fifty-six".