892896 has 48 divisors (see below), whose sum is σ = 2395008. Its totient is φ = 291200.

The previous prime is 892877. The next prime is 892901. The reversal of 892896 is 698298.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

892896 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 7 ways as a sum of consecutive naturals, for example, 6751 + ... + 6881.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁸⁹²⁸⁹⁶ 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 892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504).

892896 is an abundant number, since it is smaller than the sum of its proper divisors (1502112).

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

892896 is a wasteful number, since it uses less digits than its factorization.

892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 892896 is about 944.9317435667. The cubic root of 892896 is about 96.2942361456.

The spelling of 892896 in words is "eight hundred ninety-two thousand, eight hundred ninety-six".