891072 has 168 divisors, whose sum is σ = 3328416. Its totient is φ = 221184.

The previous prime is 891067. The next prime is 891091. The reversal of 891072 is 270198.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52408 + ... + 52424.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁸⁹¹⁰⁷² 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 891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

891072 is an abundant number, since it is smaller than the sum of its proper divisors (2437344).

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

891072 is a wasteful number, since it uses less digits than its factorization.

891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 891072 is about 943.9661010863. The cubic root of 891072 is about 96.2286217770.

The spelling of 891072 in words is "eight hundred ninety-one thousand, seventy-two".