894816 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 274176.

The previous prime is 894811. The next prime is 894869. The reversal of 894816 is 618498.

894816 = 5³ + 6³ + ... + 43³.

It is a happy number.

894816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 894816.

It is not an unprimeable number, because it can be changed into a prime (894811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3625 + ... + 3863.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁸⁹⁴⁸¹⁶ 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 894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

894816 is an abundant number, since it is smaller than the sum of its proper divisors (1857024).

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

894816 is a wasteful number, since it uses less digits than its factorization.

894816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 894816 is about 945.9471444008. The cubic root of 894816 is about 96.3632074374.

The spelling of 894816 in words is "eight hundred ninety-four thousand, eight hundred sixteen".