820509696 has 176 divisors, whose sum is σ = 2476051200. Its totient is φ = 268333056.

The previous prime is 820509649. The next prime is 820509727. The reversal of 820509696 is 696905028.

820509696 is a `hidden beast` number, since 82 + 0 + 509 + 69 + 6 = 666.

It is a super-2 number, since 2×820509696² = 1346472322460024832, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630981 + ... + 1631483.

Almost surely, 2^820509696 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 820509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238025600).

820509696 is an abundant number, since it is smaller than the sum of its proper divisors (1655541504).

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

820509696 is a wasteful number, since it uses less digits than its factorization.

820509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 820509696 is about 28644.5404222166. The cubic root of 820509696 is about 936.1840532206.

The spelling of 820509696 in words is "eight hundred twenty million, five hundred nine thousand, six hundred ninety-six".