813239616 has 224 divisors, whose sum is σ = 2574950400. Its totient is φ = 221644800.

The previous prime is 813239597. The next prime is 813239671. The reversal of 813239616 is 616932318.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×813239616² = 1322717346063654912, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5457910 + ... + 5458058.

Almost surely, 2^813239616 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 813239616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287475200).

813239616 is an abundant number, since it is smaller than the sum of its proper divisors (1761710784).

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

813239616 is a wasteful number, since it uses less digits than its factorization.

813239616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 813239616 is about 28517.3563992177. The cubic root of 813239616 is about 933.4108443564.

The spelling of 813239616 in words is "eight hundred thirteen million, two hundred thirty-nine thousand, six hundred sixteen".