892056 has 64 divisors (see below), whose sum is σ = 2534400. Its totient is φ = 259200.

The previous prime is 892049. The next prime is 892057. The reversal of 892056 is 650298.

892056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892057) by changing a digit.

892056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8130 + ... + 8238.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁸⁹²⁰⁵⁶ 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 892056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267200).

892056 is an abundant number, since it is smaller than the sum of its proper divisors (1642344).

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

892056 is a wasteful number, since it uses less digits than its factorization.

892056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 892056 is about 944.4871624326. The cubic root of 892056 is about 96.2640301131.

It can be divided in two parts, 89 and 2056, that added together give a triangular number (2145 = T₆₅).

The spelling of 892056 in words is "eight hundred ninety-two thousand, fifty-six".