9786400 has 72 divisors (see below), whose sum is σ = 25756164. Its totient is φ = 3609600.

The previous prime is 9786383. The next prime is 9786409. The reversal of 9786400 is 46879.

It can be written as a sum of positive squares in 6 ways, for example, as 2322576 + 7463824 = 1524^2 + 2732^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9786409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9930 + ... + 10870.

Almost surely, 2^9786400 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 9786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878082).

9786400 is an abundant number, since it is smaller than the sum of its proper divisors (15969764).

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

9786400 is a wasteful number, since it uses less digits than its factorization.

9786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 9786400 is about 3128.3222340418. The cubic root of 9786400 is about 213.8984582464.

The spelling of 9786400 in words is "nine million, seven hundred eighty-six thousand, four hundred".