8191606800 has 480 divisors, whose sum is σ = 30804278400. Its totient is φ = 1842462720.

The previous prime is 8191606799. The next prime is 8191606831. The reversal of 8191606800 is 86061918.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8595124 + ... + 8596076.

It is an arithmetic number, because the mean of its divisors is an integer number (64175580).

Almost surely, 2^8191606800 is an apocalyptic number.

8191606800 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 8191606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402139200).

8191606800 is an abundant number, since it is smaller than the sum of its proper divisors (22612671600).

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

8191606800 is a wasteful number, since it uses less digits than its factorization.

8191606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 8191606800 is about 90507.4958221693. The cubic root of 8191606800 is about 2015.8414266493.

The spelling of 8191606800 in words is "eight billion, one hundred ninety-one million, six hundred six thousand, eight hundred".