8220630528 has 240 divisors, whose sum is σ = 26072210736. Its totient is φ = 2472837120.

The previous prime is 8220630527. The next prime is 8220630557. The reversal of 8220630528 is 8250360228.

8220630528 is a `hidden beast` number, since 82 + 20 + 6 + 30 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8220630492 and 8220630501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220630527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7957500 + ... + 7958532.

Almost surely, 2^8220630528 is an apocalyptic number.

8220630528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036105368).

8220630528 is an abundant number, since it is smaller than the sum of its proper divisors (17851580208).

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

8220630528 is a wasteful number, since it uses less digits than its factorization.

8220630528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8220630528 is about 90667.6928569377. The cubic root of 8220630528 is about 2018.2194000749.

The spelling of 8220630528 in words is "eight billion, two hundred twenty million, six hundred thirty thousand, five hundred twenty-eight".