96398400 has 336 divisors, whose sum is σ = 382991360. Its totient is φ = 20736000.

The previous prime is 96398399. The next prime is 96398411. The reversal of 96398400 is 489369.

It is a tau number, because it is divible by the number of its divisors (336).

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, 638325 + ... + 638475.

Almost surely, 2^96398400 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 96398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191495680).

96398400 is an abundant number, since it is smaller than the sum of its proper divisors (286592960).

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

96398400 is a wasteful number, since it uses less digits than its factorization.

96398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96398400 is about 9818.2686864844. The cubic root of 96398400 is about 458.5182313683.

The spelling of 96398400 in words is "ninety-six million, three hundred ninety-eight thousand, four hundred".