891000 has 160 divisors (see below), whose sum is σ = 3397680. Its totient is φ = 216000.

The previous prime is 890999. The next prime is 891001. The reversal of 891000 is 198.

891000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (890999) and next prime (891001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80995 + ... + 81005.

2⁸⁹¹⁰⁰⁰ 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 891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698840).

891000 is an abundant number, since it is smaller than the sum of its proper divisors (2506680).

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

891000 is a wasteful number, since it uses less digits than its factorization.

891000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 891000 is about 943.9279633531. The cubic root of 891000 is about 96.2260298999.

Adding to 891000 its reverse (198), we get a palindrome (891198).

It can be divided in two parts, 89 and 1000, that added together give a square (1089 = 33²).

The spelling of 891000 in words is "eight hundred ninety-one thousand".