861027000 has 128 divisors (see below), whose sum is σ = 2759365440. Its totient is φ = 223372800.

The previous prime is 861026989. The next prime is 861027001. The reversal of 861027000 is 720168.

861027000 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (861027001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107122 + ... + 114878.

Almost surely, 2^861027000 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 861027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379682720).

861027000 is an abundant number, since it is smaller than the sum of its proper divisors (1898338440).

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

861027000 is a wasteful number, since it uses less digits than its factorization.

861027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 861027000 is about 29343.2615774048. The cubic root of 861027000 is about 951.3469351758.

Adding to 861027000 its reverse (720168), we get a palindrome (861747168).

The spelling of 861027000 in words is "eight hundred sixty-one million, twenty-seven thousand".