9861000 has 128 divisors (see below), whose sum is σ = 32572800. Its totient is φ = 2476800.

The previous prime is 9860999. The next prime is 9861029. The reversal of 9861000 is 1689.

9861000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56914 + ... + 57086.

It is an arithmetic number, because the mean of its divisors is an integer number (254475).

Almost surely, 2^9861000 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 9861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

9861000 is an abundant number, since it is smaller than the sum of its proper divisors (22711800).

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

9861000 is a wasteful number, since it uses less digits than its factorization.

9861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 9861000 is about 3140.2229220232. Note that the first 3 decimals coincide. The cubic root of 9861000 is about 214.4405864539.

Adding to 9861000 its reverse (1689), we get a palindrome (9862689).

The spelling of 9861000 in words is "nine million, eight hundred sixty-one thousand".