8026368100 has 135 divisors (see below), whose sum is σ = 19121999421. Its totient is φ = 2924217600.

The previous prime is 8026368067. The next prime is 8026368101. The reversal of 8026368100 is 18636208.

The square root of 8026368100 is 89590.

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

It can be written as a sum of positive squares in 7 ways, for example, as 874621476 + 7151746624 = 29574^2 + 84568^2 .

It is a super-2 number, since 2×8026368100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (8026368101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 258915085 + ... + 258915115.

Almost surely, 2^8026368100 is an apocalyptic number.

8026368100 is the 89590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8026368100

8026368100 is an abundant number, since it is smaller than the sum of its proper divisors (11095631321).

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

8026368100 is an equidigital number, since it uses as much as digits as its factorization.

8026368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 8026368100 is about 2002.1949319224.

The spelling of 8026368100 in words is "eight billion, twenty-six million, three hundred sixty-eight thousand, one hundred".