819652608 has 216 divisors, whose sum is σ = 2498531490. Its totient is φ = 268738560.

The previous prime is 819652583. The next prime is 819652649. The reversal of 819652608 is 806256918.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 6718464 = 28512^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13436898 + ... + 13436958.

Almost surely, 2^819652608 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 819652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249265745).

819652608 is an abundant number, since it is smaller than the sum of its proper divisors (1678878882).

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

819652608 is an frugal number, since it uses more digits than its factorization.

819652608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 819652608 is about 28629.5757565494. The cubic root of 819652608 is about 935.8579666139.

The spelling of 819652608 in words is "eight hundred nineteen million, six hundred fifty-two thousand, six hundred eight".