817693056 has 256 divisors, whose sum is σ = 2569420800. Its totient is φ = 258660864.

The previous prime is 817693049. The next prime is 817693057. The reversal of 817693056 is 650396718.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817693057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6438465 + ... + 6438591.

It is an arithmetic number, because the mean of its divisors is an integer number (10036800).

Almost surely, 2^817693056 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 817693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284710400).

817693056 is an abundant number, since it is smaller than the sum of its proper divisors (1751727744).

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

817693056 is an equidigital number, since it uses as much as digits as its factorization.

817693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 817693056 is about 28595.3327660302. The cubic root of 817693056 is about 935.1115830494. Note that the first 3 decimals are identical.

The spelling of 817693056 in words is "eight hundred seventeen million, six hundred ninety-three thousand, fifty-six".