816684288 has 144 divisors (see below), whose sum is σ = 2519319936. Its totient is φ = 230031360.

The previous prime is 816684223. The next prime is 816684293. The reversal of 816684288 is 882486618.

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

It is a self number, because there is not a number n which added to its sum of digits gives 816684288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391408 + ... + 393488.

Almost surely, 2^816684288 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 816684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259659968).

816684288 is an abundant number, since it is smaller than the sum of its proper divisors (1702635648).

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

816684288 is a wasteful number, since it uses less digits than its factorization.

816684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 816684288 is about 28577.6886399163. The cubic root of 816684288 is about 934.7268833492.

The spelling of 816684288 in words is "eight hundred sixteen million, six hundred eighty-four thousand, two hundred eighty-eight".