9896140800 has 1008 divisors, whose sum is σ = 44367785280. Its totient is φ = 2052587520.

The previous prime is 9896140783. The next prime is 9896140801. The reversal of 9896140800 is 80416989.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9896140801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167731171 + ... + 167731229.

It is an arithmetic number, because the mean of its divisors is an integer number (44015660).

Almost surely, 2^9896140800 is an apocalyptic number.

9896140800 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 9896140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183892640).

9896140800 is an abundant number, since it is smaller than the sum of its proper divisors (34471644480).

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

9896140800 is a wasteful number, since it uses less digits than its factorization.

9896140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9896140800 is about 99479.3486106539. The cubic root of 9896140800 is about 2146.9501230999.

The spelling of 9896140800 in words is "nine billion, eight hundred ninety-six million, one hundred forty thousand, eight hundred".