816128256 has 72 divisors (see below), whose sum is σ = 2176696480. Its totient is φ = 271466496.

The previous prime is 816128219. The next prime is 816128263. The reversal of 816128256 is 652821618.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516075 + ... + 517653.

Almost surely, 2^816128256 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 816128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088348240).

816128256 is an abundant number, since it is smaller than the sum of its proper divisors (1360568224).

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

816128256 is a wasteful number, since it uses less digits than its factorization.

816128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2257 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 816128256 is about 28567.9585549965. The cubic root of 816128256 is about 934.5147017822.

The spelling of 816128256 in words is "eight hundred sixteen million, one hundred twenty-eight thousand, two hundred fifty-six".