816816 has 160 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 184320.

The previous prime is 816811. The next prime is 816817. The reversal of 816816 is 618618.

816816 = 144² + 145² + ... + 175².

816816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816811) by changing a digit.

816816 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 31 ways as a sum of consecutive naturals, for example, 48040 + ... + 48056.

2⁸¹⁶⁸¹⁶ 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 816816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

816816 is an abundant number, since it is smaller than the sum of its proper divisors (2182992).

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

816816 is a wasteful number, since it uses less digits than its factorization.

816816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 816816 is about 903.7787339830. The cubic root of 816816 is about 93.4777130481.

The spelling of 816816 in words is "eight hundred sixteen thousand, eight hundred sixteen".