891872 has 24 divisors (see below), whose sum is σ = 1796256. Its totient is φ = 435712.

The previous prime is 891859. The next prime is 891887. The reversal of 891872 is 278198.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1208 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2⁸⁹¹⁸⁷² 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 891872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898128).

891872 is an abundant number, since it is smaller than the sum of its proper divisors (904384).

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

891872 is a wasteful number, since it uses less digits than its factorization.

891872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 891872 is about 944.3897500503. The cubic root of 891872 is about 96.2574110221.

The spelling of 891872 in words is "eight hundred ninety-one thousand, eight hundred seventy-two".