98676 has 18 divisors (see below), whose sum is σ = 249522. Its totient is φ = 32880.

The previous prime is 98669. The next prime is 98689. The reversal of 98676 is 67689.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 22500 = 276^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2741 = 98676 / (9 + 8 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 98676.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1335 + ... + 1406.

2⁹⁸⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

98676 is an abundant number, since it is smaller than the sum of its proper divisors (150846).

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

98676 is a wasteful number, since it uses less digits than its factorization.

98676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2746 counting only the distinct ones).

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

The square root of 98676 is about 314.1273627050. The cubic root of 98676 is about 46.2101287738.

The spelling of 98676 in words is "ninety-eight thousand, six hundred seventy-six".