97680 has 80 divisors (see below), whose sum is σ = 339264. Its totient is φ = 23040.
The previous prime is 97673. The next prime is 97687. The reversal of 97680 is 8679.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (97673) and next prime (97687).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (97687) by changing a digit.
97680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622 + ... + 2658.
297680 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).
97680 is an abundant number, since it is smaller than the sum of its proper divisors (241584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97680 is a wasteful number, since it uses less digits than its factorization.
97680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 58 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 30.
The square root of 97680 is about 312.5379976899. The cubic root of 97680 is about 46.0541265823.
It can be divided in two parts, 97 and 680, that added together give a palindrome (777).
The spelling of 97680 in words is "ninety-seven thousand, six hundred eighty".
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