9678900 has 144 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2006400.

The previous prime is 9678863. The next prime is 9678901. The reversal of 9678900 is 98769.

It is a super-2 number, since 2×9678900² = 187362210420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9678901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22891 + ... + 23309.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 2^9678900 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 9678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

9678900 is an abundant number, since it is smaller than the sum of its proper divisors (25318860).

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

9678900 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9678899) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (454).

9678900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9678900 is about 3111.0930555032. The cubic root of 9678900 is about 213.1123743033.

The spelling of 9678900 in words is "nine million, six hundred seventy-eight thousand, nine hundred".