98760 has 32 divisors (see below), whose sum is σ = 296640. Its totient is φ = 26304.

The previous prime is 98737. The next prime is 98773. The reversal of 98760 is 6789.

98760 = T₄ + T₅ + ... + T₈₃.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (9270).

2⁹⁸⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

98760 is an abundant number, since it is smaller than the sum of its proper divisors (197880).

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 (148320).

98760 is a wasteful number, since it uses less digits than its factorization.

98760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 98760 is about 314.2610379923. The cubic root of 98760 is about 46.2232374996.

Adding to 98760 its sum of digits (30), we get a triangular number (98790 = T₄₄₄).

It can be divided in two parts, 98 and 760, that added together give a palindrome (858).

The spelling of 98760 in words is "ninety-eight thousand, seven hundred sixty".