9678000 has 80 divisors (see below), whose sum is σ = 31221216. Its totient is φ = 2579200.

The previous prime is 9677999. The next prime is 9678007. The reversal of 9678000 is 8769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9678007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5194 + ... + 6806.

Almost surely, 2^9678000 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 9678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610608).

9678000 is an abundant number, since it is smaller than the sum of its proper divisors (21543216).

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

9678000 is a wasteful number, since it uses less digits than its factorization.

9678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 9678000 is about 3110.9484084440. The cubic root of 9678000 is about 213.1057686256.

The spelling of 9678000 in words is "nine million, six hundred seventy-eight thousand".