197680 has 40 divisors (see below), whose sum is σ = 526752. Its totient is φ = 67584.

The previous prime is 197677. The next prime is 197683. The reversal of 197680 is 86791.

197680 = T₁₆₁ + T₁₆₂ + ... + T₁₇₄.

It is an interprime number because it is at equal distance from previous prime (197677) and next prime (197683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (197683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 736.

2¹⁹⁷⁶⁸⁰ is an apocalyptic number.

197680 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 197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263376).

197680 is an abundant number, since it is smaller than the sum of its proper divisors (329072).

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

197680 is a wasteful number, since it uses less digits than its factorization.

197680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 197680 is about 444.6121905661. The cubic root of 197680 is about 58.2533507009.

Adding to 197680 its product of nonzero digits (3024), we get a square (200704 = 448²).

Subtracting from 197680 its reverse (86791), we obtain a square (110889 = 333²).

The spelling of 197680 in words is "one hundred ninety-seven thousand, six hundred eighty".