8480568100 has 27 divisors (see below), whose sum is σ = 18404831347. Its totient is φ = 3391858880.

The previous prime is 8480568097. The next prime is 8480568163. The reversal of 8480568100 is 18650848.

The square root of 8480568100 is 92090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143134436 + 6337433664 = 46294^2 + 79608^2 .

It is a super-2 number, since 2×8480568100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 916296 + ... + 925504.

Almost surely, 2^8480568100 is an apocalyptic number.

8480568100 is the 92090-th square number.

It is an amenable number.

8480568100 is an abundant number, since it is smaller than the sum of its proper divisors (9924263247).

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

8480568100 is an frugal number, since it uses more digits than its factorization.

8480568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The cubic root of 8480568100 is about 2039.2711817241.

The spelling of 8480568100 in words is "eight billion, four hundred eighty million, five hundred sixty-eight thousand, one hundred".