98648 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 41760.

The previous prime is 98641. The next prime is 98663. The reversal of 98648 is 84689.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98648.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1643 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁹⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

98648 is an abundant number, since it is smaller than the sum of its proper divisors (117352).

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

98648 is a wasteful number, since it uses less digits than its factorization.

98648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 98648 is about 314.0827916330. The cubic root of 98648 is about 46.2057575454.

It can be divided in two parts, 98 and 648, that multiplied together give a square (63504 = 252²).

The spelling of 98648 in words is "ninety-eight thousand, six hundred forty-eight".