96880 has 40 divisors (see below), whose sum is σ = 258912. Its totient is φ = 33024.

The previous prime is 96857. The next prime is 96893. The reversal of 96880 is 8869.

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 congruent number.

It is an unprimeable number.

96880 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 7 ways as a sum of consecutive naturals, for example, 474 + ... + 646.

2⁹⁶⁸⁸⁰ 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 96880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129456).

96880 is an abundant number, since it is smaller than the sum of its proper divisors (162032).

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

96880 is a wasteful number, since it uses less digits than its factorization.

96880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 96880 is about 311.2555220394. The cubic root of 96880 is about 45.9280538832.

It can be divided in two parts, 9 and 6880, that added together give a square (6889 = 83²).

The spelling of 96880 in words is "ninety-six thousand, eight hundred eighty".