8020633600 has 432 divisors, whose sum is σ = 24312506400. Its totient is φ = 2611445760.

The previous prime is 8020633561. The next prime is 8020633601. The reversal of 8020633600 is 63360208.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8020633601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 57702331 + ... + 57702469.

It is an arithmetic number, because the mean of its divisors is an integer number (56278950).

Almost surely, 2^8020633600 is an apocalyptic number.

8020633600 is a gapful number since it is divisible by the number (80) 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 8020633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

8020633600 is an abundant number, since it is smaller than the sum of its proper divisors (16291872800).

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

8020633600 is a wasteful number, since it uses less digits than its factorization.

8020633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 8020633600 is about 89557.9901516330. The cubic root of 8020633600 is about 2001.7179904984.

Adding to 8020633600 its reverse (63360208), we get a palindrome (8083993808).

The spelling of 8020633600 in words is "eight billion, twenty million, six hundred thirty-three thousand, six hundred".