9800960400 has 540 divisors, whose sum is σ = 43170411024. Its totient is φ = 2036160000.

The previous prime is 9800960357. The next prime is 9800960417. The reversal of 9800960400 is 40690089.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1937875 + ... + 1942925.

Almost surely, 2^9800960400 is an apocalyptic number.

9800960400 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 9800960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585205512).

9800960400 is an abundant number, since it is smaller than the sum of its proper divisors (33369450624).

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

9800960400 is a wasteful number, since it uses less digits than its factorization.

9800960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9800960400 is about 98999.7999997980. The cubic root of 9800960400 is about 2140.0448646954.

The spelling of 9800960400 in words is "nine billion, eight hundred million, nine hundred sixty thousand, four hundred".