98640 has 60 divisors (see below), whose sum is σ = 333684. Its totient is φ = 26112.

The previous prime is 98639. The next prime is 98641. The reversal of 98640 is 4689.

It is an interprime number because it is at equal distance from previous prime (98639) and next prime (98641).

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 51984 = 216^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652 + ... + 788.

2⁹⁸⁶⁴⁰ is an apocalyptic number.

98640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166842).

98640 is an abundant number, since it is smaller than the sum of its proper divisors (235044).

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

98640 is a wasteful number, since it uses less digits than its factorization.

98640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98640 is about 314.0700558793. The cubic root of 98640 is about 46.2045084710.

It can be divided in two parts, 9 and 8640, that added together give a square (8649 = 93²).

The spelling of 98640 in words is "ninety-eight thousand, six hundred forty".