816218160 has 160 divisors (see below), whose sum is σ = 2619207360. Its totient is φ = 210124800.

The previous prime is 816218153. The next prime is 816218177. The reversal of 816218160 is 61812618.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072180 + ... + 1072940.

It is an arithmetic number, because the mean of its divisors is an integer number (16370046).

Almost surely, 2^816218160 is an apocalyptic number.

816218160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309603680).

816218160 is an abundant number, since it is smaller than the sum of its proper divisors (1802989200).

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

816218160 is a wasteful number, since it uses less digits than its factorization.

816218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 816218160 is about 28569.5320227686. The cubic root of 816218160 is about 934.5490156392.

The spelling of 816218160 in words is "eight hundred sixteen million, two hundred eighteen thousand, one hundred sixty".