98400 has 72 divisors (see below), whose sum is σ = 328104. Its totient is φ = 25600.

The previous prime is 98389. The next prime is 98407. The reversal of 98400 is 489.

It is a nialpdrome in base 10.

It is a zygodrome in base 2 and base 7.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2380 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁹⁸⁴⁰⁰ 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 98400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

98400 is an abundant number, since it is smaller than the sum of its proper divisors (229704).

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

98400 is a wasteful number, since it uses less digits than its factorization.

98400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 98400 is about 313.6877428272. The cubic root of 98400 is about 46.1670047951.

Adding to 98400 its reverse (489), we get a palindrome (98889).

The spelling of 98400 in words is "ninety-eight thousand, four hundred".