814810216 has 64 divisors (see below), whose sum is σ = 1737288000. Its totient is φ = 354869760.

The previous prime is 814810151. The next prime is 814810223. The reversal of 814810216 is 612018418.

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, 353580 + ... + 355876.

It is an arithmetic number, because the mean of its divisors is an integer number (27145125).

Almost surely, 2^814810216 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 814810216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868644000).

814810216 is an abundant number, since it is smaller than the sum of its proper divisors (922477784).

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

814810216 is a wasteful number, since it uses less digits than its factorization.

814810216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 814810216 is about 28544.8807319281. The cubic root of 814810216 is about 934.0113530252.

The spelling of 814810216 in words is "eight hundred fourteen million, eight hundred ten thousand, two hundred sixteen".