820835896608 has 576 divisors, whose sum is σ = 3005001659520. Its totient is φ = 216066299904.

The previous prime is 820835896583. The next prime is 820835896633. The reversal of 820835896608 is 806698538028.

820835896608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820835896583) and next prime (820835896633).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372598035 + ... + 372600237.

It is an arithmetic number, because the mean of its divisors is an integer number (5217016770).

Almost surely, 2^820835896608 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 820835896608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502500829760).

820835896608 is an abundant number, since it is smaller than the sum of its proper divisors (2184165762912).

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

820835896608 is a wasteful number, since it uses less digits than its factorization.

820835896608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 820835896608 in words is "eight hundred twenty billion, eight hundred thirty-five million, eight hundred ninety-six thousand, six hundred eight".