820122996 has 108 divisors (see below), whose sum is σ = 2447025504. Its totient is φ = 213000480.

The previous prime is 820122991. The next prime is 820123001. The reversal of 820122996 is 699221028.

It is an interprime number because it is at equal distance from previous prime (820122991) and next prime (820123001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820122991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65385 + ... + 76911.

Almost surely, 2^820122996 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 820122996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223512752).

820122996 is an abundant number, since it is smaller than the sum of its proper divisors (1626902508).

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

820122996 is a wasteful number, since it uses less digits than its factorization.

820122996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 820122996 is about 28637.7896493427. The cubic root of 820122996 is about 936.0369579607.

The spelling of 820122996 in words is "eight hundred twenty million, one hundred twenty-two thousand, nine hundred ninety-six".