817915056 has 200 divisors, whose sum is σ = 2534075904. Its totient is φ = 227203200.

The previous prime is 817915051. The next prime is 817915057. The reversal of 817915056 is 650519718.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 817914999 and 817915017.

It is not an unprimeable number, because it can be changed into a prime (817915051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5416581 + ... + 5416731.

Almost surely, 2^817915056 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 817915056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267037952).

817915056 is an abundant number, since it is smaller than the sum of its proper divisors (1716160848).

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

817915056 is a wasteful number, since it uses less digits than its factorization.

817915056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 817915056 is about 28599.2142549406. The cubic root of 817915056 is about 935.1962015933.

The spelling of 817915056 in words is "eight hundred seventeen million, nine hundred fifteen thousand, fifty-six".