9786900 has 144 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 2304000.

The previous prime is 9786893. The next prime is 9786911. The reversal of 9786900 is 96879.

It is a super-2 number, since 2×9786900² = 191566823220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96850 + ... + 96950.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^9786900 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 9786900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

9786900 is an abundant number, since it is smaller than the sum of its proper divisors (22086060).

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

9786900 is a wasteful number, since it uses less digits than its factorization.

9786900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

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

The square root of 9786900 is about 3128.4021480622. The cubic root of 9786900 is about 213.9021009686.

The spelling of 9786900 in words is "nine million, seven hundred eighty-six thousand, nine hundred".