197906688 has 162 divisors, whose sum is σ = 664153854. Its totient is φ = 56512512.

The previous prime is 197906659. The next prime is 197906729. The reversal of 197906688 is 886609791.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 82301184 = 10752^2 + 9072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112020 + ... + 113772.

Almost surely, 2^197906688 is an apocalyptic number.

197906688 is a gapful number since it is divisible by the number (18) 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 197906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332076927).

197906688 is an abundant number, since it is smaller than the sum of its proper divisors (466247166).

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

197906688 is a wasteful number, since it uses less digits than its factorization.

197906688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 197906688 is about 14067.9311911880. The cubic root of 197906688 is about 582.7560938680.

The spelling of 197906688 in words is "one hundred ninety-seven million, nine hundred six thousand, six hundred eighty-eight".