9897009408 has 1152 divisors, whose sum is σ = 39558758400. Its totient is φ = 2388787200.

The previous prime is 9897009407. The next prime is 9897009449. The reversal of 9897009408 is 8049007989.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×9897009408⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9897009401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319258353 + ... + 319258383.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 2^9897009408 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 9897009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779379200).

9897009408 is an abundant number, since it is smaller than the sum of its proper divisors (29661748992).

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

9897009408 is a wasteful number, since it uses less digits than its factorization.

9897009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9897009408 is about 99483.7142853040. The cubic root of 9897009408 is about 2147.0129355818.

The spelling of 9897009408 in words is "nine billion, eight hundred ninety-seven million, nine thousand, four hundred eight".