9708000 has 96 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2585600.

The previous prime is 9707989. The next prime is 9708113. The reversal of 9708000 is 8079.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11596 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^9708000 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 9708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

9708000 is an abundant number, since it is smaller than the sum of its proper divisors (22134720).

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

9708000 is a wasteful number, since it uses less digits than its factorization.

9708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 9708000 is about 3115.7663583780. The cubic root of 9708000 is about 213.3257375768.

The spelling of 9708000 in words is "nine million, seven hundred eight thousand".