817564416 has 72 divisors (see below), whose sum is σ = 2212916160. Its totient is φ = 267887616.

The previous prime is 817564411. The next prime is 817564427. The reversal of 817564416 is 614465718.

It is not an unprimeable number, because it can be changed into a prime (817564411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36291 + ... + 54333.

Almost surely, 2^817564416 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 817564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106458080).

817564416 is an abundant number, since it is smaller than the sum of its proper divisors (1395351744).

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

817564416 is a wasteful number, since it uses less digits than its factorization.

817564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121 (or 18107 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 817564416 is about 28593.0833594420. The cubic root of 817564416 is about 935.0625430248.

The spelling of 817564416 in words is "eight hundred seventeen million, five hundred sixty-four thousand, four hundred sixteen".