99760 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 37632.

The previous prime is 99733. The next prime is 99761. The reversal of 99760 is 6799.

99760 is nontrivially palindromic in base 12.

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 nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99761) by changing a digit.

99760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2299 + ... + 2341.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2⁹⁹⁷⁶⁰ 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 99760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

99760 is an abundant number, since it is smaller than the sum of its proper divisors (145760).

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

99760 is a wasteful number, since it uses less digits than its factorization.

99760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 99760 is about 315.8480647400. The cubic root of 99760 is about 46.3787258796.

The spelling of 99760 in words is "ninety-nine thousand, seven hundred sixty".