8198108160 has 352 divisors, whose sum is σ = 28913203584. Its totient is φ = 1982464000.

The previous prime is 8198108129. The next prime is 8198108183. The reversal of 8198108160 is 618018918.

8198108160 = T₅₅ + T₅₆ + ... + T₃₆₆₃.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20443960 + ... + 20444360.

Almost surely, 2^8198108160 is an apocalyptic number.

8198108160 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 8198108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456601792).

8198108160 is an abundant number, since it is smaller than the sum of its proper divisors (20715095424).

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

8198108160 is a wasteful number, since it uses less digits than its factorization.

8198108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 8198108160 is about 90543.4048398888. The cubic root of 8198108160 is about 2016.3745839610.

The spelling of 8198108160 in words is "eight billion, one hundred ninety-eight million, one hundred eight thousand, one hundred sixty".