8241182208 has 720 divisors, whose sum is σ = 31110084720. Its totient is φ = 2080899072.

The previous prime is 8241182179. The next prime is 8241182231. The reversal of 8241182208 is 8022811428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72930760 + ... + 72930872.

It is an arithmetic number, because the mean of its divisors is an integer number (43208451).

Almost surely, 2^8241182208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8241182208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555042360).

8241182208 is an abundant number, since it is smaller than the sum of its proper divisors (22868902512).

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

8241182208 is a wasteful number, since it uses less digits than its factorization.

8241182208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8241182208 is about 90780.9572983233. The cubic root of 8241182208 is about 2019.8998584476.

The spelling of 8241182208 in words is "eight billion, two hundred forty-one million, one hundred eighty-two thousand, two hundred eight".