893316 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 268800.

The previous prime is 893281. The next prime is 893317. The reversal of 893316 is 613398.

It is a super-3 number, since 3×893316³ = 2138634618593335488, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (893317) by changing a digit.

893316 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, 5841 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁸⁹³³¹⁶ 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 893316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

893316 is an abundant number, since it is smaller than the sum of its proper divisors (1404924).

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

893316 is a wasteful number, since it uses less digits than its factorization.

893316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 893316 is about 945.1539557130. The cubic root of 893316 is about 96.3093320580.

The spelling of 893316 in words is "eight hundred ninety-three thousand, three hundred sixteen".