816517664 has 24 divisors (see below), whose sum is σ = 1677412800. Its totient is φ = 390508096.

The previous prime is 816517657. The next prime is 816517703. The reversal of 816517664 is 466715618.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553964 + ... + 555435.

It is an arithmetic number, because the mean of its divisors is an integer number (69892200).

Almost surely, 2^816517664 is an apocalyptic number.

It is an amenable number.

816517664 is an abundant number, since it is smaller than the sum of its proper divisors (860895136).

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

816517664 is a wasteful number, since it uses less digits than its factorization.

816517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109432 (or 1109424 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 816517664 is about 28574.7732099487. The cubic root of 816517664 is about 934.6633098125.

The spelling of 816517664 in words is "eight hundred sixteen million, five hundred seventeen thousand, six hundred sixty-four".