98436800 has 336 divisors, whose sum is σ = 326550528. Its totient is φ = 28262400.

The previous prime is 98436799. The next prime is 98436857. The reversal of 98436800 is 863489.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094377 + ... + 2094423.

Almost surely, 2^98436800 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 98436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

98436800 is an abundant number, since it is smaller than the sum of its proper divisors (228113728).

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

98436800 is a wasteful number, since it uses less digits than its factorization.

98436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 98436800 is about 9921.5321397454. The cubic root of 98436800 is about 461.7275931414.

The spelling of 98436800 in words is "ninety-eight million, four hundred thirty-six thousand, eight hundred".