9867600 has 90 divisors (see below), whose sum is σ = 34255806. Its totient is φ = 2630400.

The previous prime is 9867581. The next prime is 9867601. The reversal of 9867600 is 67689.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 9659664 = 456^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9867601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230 + ... + 4970.

Almost surely, 2^9867600 is an apocalyptic number.

9867600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127903).

9867600 is an abundant number, since it is smaller than the sum of its proper divisors (24388206).

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

9867600 is a wasteful number, since it uses less digits than its factorization.

9867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9867600 is about 3141.2736270500. The cubic root of 9867600 is about 214.4884177162.

The spelling of 9867600 in words is "nine million, eight hundred sixty-seven thousand, six hundred".