99768 has 16 divisors (see below), whose sum is σ = 249480. Its totient is φ = 33248.

The previous prime is 99767. The next prime is 99787. The reversal of 99768 is 86799.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2055 + ... + 2102.

2⁹⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

99768 is an abundant number, since it is smaller than the sum of its proper divisors (149712).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740).

99768 is a wasteful number, since it uses less digits than its factorization.

99768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 99768 is about 315.8607288031. The cubic root of 99768 is about 46.3799655879.

The spelling of 99768 in words is "ninety-nine thousand, seven hundred sixty-eight".