8412662160 has 640 divisors, whose sum is σ = 36614799360. Its totient is φ = 1729880064.

The previous prime is 8412662147. The next prime is 8412662161. The reversal of 8412662160 is 612662148.

8412662160 is a `hidden beast` number, since 8 + 4 + 1 + 26 + 621 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8412662161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5911209 + ... + 5912631.

It is an arithmetic number, because the mean of its divisors is an integer number (57210624).

Almost surely, 2^8412662160 is an apocalyptic number.

8412662160 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 8412662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307399680).

8412662160 is an abundant number, since it is smaller than the sum of its proper divisors (28202137200).

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

8412662160 is a wasteful number, since it uses less digits than its factorization.

8412662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8412662160 is about 91720.5656327958. The cubic root of 8412662160 is about 2033.8136114131.

The spelling of 8412662160 in words is "eight billion, four hundred twelve million, six hundred sixty-two thousand, one hundred sixty".