98766 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 31320.

The previous prime is 98737. The next prime is 98773. The reversal of 98766 is 66789.

98766 = T₃ + T₄ + ... + T₈₃.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 98766.

It is a congruent number.

It is an unprimeable number.

98766 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, 1645 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁸⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

98766 is an abundant number, since it is smaller than the sum of its proper divisors (131634).

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

98766 is a wasteful number, since it uses less digits than its factorization.

98766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 98766 is about 314.2705840514. The cubic root of 98766 is about 46.2241735527.

The spelling of 98766 in words is "ninety-eight thousand, seven hundred sixty-six".