893256 has 64 divisors (see below), whose sum is σ = 2755200. Its totient is φ = 235008.

The previous prime is 893237. The next prime is 893257. The reversal of 893256 is 652398.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (893257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (43050).

2⁸⁹³²⁵⁶ is an apocalyptic number.

893256 is the 546-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377600).

893256 is an abundant number, since it is smaller than the sum of its proper divisors (1861944).

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

893256 is a wasteful number, since it uses less digits than its factorization.

893256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 893256 is about 945.1222143194. The cubic root of 893256 is about 96.3071757888.

The spelling of 893256 in words is "eight hundred ninety-three thousand, two hundred fifty-six".