870816 has 48 divisors (see below), whose sum is σ = 2346624. Its totient is φ = 282624.

The previous prime is 870811. The next prime is 870823. The reversal of 870816 is 618078.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870811) by changing a digit.

870816 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, 4416 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (48888).

2⁸⁷⁰⁸¹⁶ 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 870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173312).

870816 is an abundant number, since it is smaller than the sum of its proper divisors (1475808).

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

870816 is a wasteful number, since it uses less digits than its factorization.

870816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 870816 is about 933.1752247033. The cubic root of 870816 is about 95.4938639918.

The spelling of 870816 in words is "eight hundred seventy thousand, eight hundred sixteen".