98406 has 48 divisors (see below), whose sum is σ = 269568. Its totient is φ = 25200.

The previous prime is 98389. The next prime is 98407. The reversal of 98406 is 60489.

98406 = T₁₃ + T₁₄ + ... + T₈₃.

98406 is nontrivially palindromic in base 5.

It is a zygodrome in base 3 and base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 98406.

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 98406.

It is not an unprimeable number, because it can be changed into a prime (98407) by changing a digit.

98406 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 23 ways as a sum of consecutive naturals, for example, 1351 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2⁹⁸⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784).

98406 is an abundant number, since it is smaller than the sum of its proper divisors (171162).

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

98406 is a wasteful number, since it uses less digits than its factorization.

98406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

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

The square root of 98406 is about 313.6973063321. The cubic root of 98406 is about 46.1679431298.

The spelling of 98406 in words is "ninety-eight thousand, four hundred six".