8220845952 has 512 divisors, whose sum is σ = 27918950400. Its totient is φ = 2359203840.

The previous prime is 8220845923. The next prime is 8220845977. The reversal of 8220845952 is 2595480228.

It is a junction number, because it is equal to n+sod(n) for n = 8220845898 and 8220845907.

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 63 ways as a sum of consecutive naturals, for example, 76830283 + ... + 76830389.

It is an arithmetic number, because the mean of its divisors is an integer number (54529200).

Almost surely, 2^8220845952 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 8220845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959475200).

8220845952 is an abundant number, since it is smaller than the sum of its proper divisors (19698104448).

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

8220845952 is a wasteful number, since it uses less digits than its factorization.

8220845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8220845952 is about 90668.8808357090. The cubic root of 8220845952 is about 2018.2370292619.

The spelling of 8220845952 in words is "eight billion, two hundred twenty million, eight hundred forty-five thousand, nine hundred fifty-two".