9896508400 has 120 divisors (see below), whose sum is σ = 24478745760. Its totient is φ = 3842196480.

The previous prime is 9896508341. The next prime is 9896508409. The reversal of 9896508400 is 48056989.

It is a happy number.

It is a super-2 number, since 2×9896508400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9896508409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11795181 + ... + 11796019.

It is an arithmetic number, because the mean of its divisors is an integer number (203989548).

Almost surely, 2^9896508400 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 9896508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239372880).

9896508400 is an abundant number, since it is smaller than the sum of its proper divisors (14582237360).

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

9896508400 is a wasteful number, since it uses less digits than its factorization.

9896508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 9896508400 is about 99481.1962131538. The cubic root of 9896508400 is about 2146.9767061592.

The spelling of 9896508400 in words is "nine billion, eight hundred ninety-six million, five hundred eight thousand, four hundred".