98114400 has 108 divisors (see below), whose sum is σ = 346001292. Its totient is φ = 26161920.

The previous prime is 98114381. The next prime is 98114407. The reversal of 98114400 is 441189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387 + ... + 14013.

Almost surely, 2^98114400 is an apocalyptic number.

98114400 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 98114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173000646).

98114400 is an abundant number, since it is smaller than the sum of its proper divisors (247886892).

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

98114400 is a wasteful number, since it uses less digits than its factorization.

98114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13653 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98114400 is about 9905.2713238962. The cubic root of 98114400 is about 461.2229587337. Note that the first 3 decimals are identical.

Adding to 98114400 its reverse (441189), we get a palindrome (98555589).

The spelling of 98114400 in words is "ninety-eight million, one hundred fourteen thousand, four hundred".