8197491600 has 225 divisors, whose sum is σ = 29478745153. Its totient is φ = 2181651840.

The previous prime is 8197491593. The next prime is 8197491623. The reversal of 8197491600 is 61947918.

It is a happy number.

The square root of 8197491600 is 90540.

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

It can be written as a sum of positive squares in only one way, i.e., 2951096976 + 5246394624 = 54324^2 + 72432^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16296949 + ... + 16297451.

Almost surely, 2^8197491600 is an apocalyptic number.

8197491600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8197491600 is the 90540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8197491600

8197491600 is an abundant number, since it is smaller than the sum of its proper divisors (21281253553).

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

8197491600 is an equidigital number, since it uses as much as digits as its factorization.

8197491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 8197491600 is about 2016.3240337993.

The spelling of 8197491600 in words is "eight billion, one hundred ninety-seven million, four hundred ninety-one thousand, six hundred".