9885600 has 108 divisors (see below), whose sum is σ = 34884486. Its totient is φ = 2634240.

The previous prime is 9885593. The next prime is 9885611. The reversal of 9885600 is 65889.

9885600 is a `hidden beast` number, since 98 + 8 + 560 + 0 = 666.

9885600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9511056 + 374544 = 3084^2 + 612^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6514 + ... + 7886.

Almost surely, 2^9885600 is an apocalyptic number.

9885600 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 9885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442243).

9885600 is an abundant number, since it is smaller than the sum of its proper divisors (24998886).

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

9885600 is a wasteful number, since it uses less digits than its factorization.

9885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9885600 is about 3144.1374015777. The cubic root of 9885600 is about 214.6187583035.

The spelling of 9885600 in words is "nine million, eight hundred eighty-five thousand, six hundred".