8107238160 has 420 divisors, whose sum is σ = 32886704268. Its totient is φ = 1852429824.

The previous prime is 8107238159. The next prime is 8107238201. The reversal of 8107238160 is 618327018.

It can be written as a sum of positive squares in 2 ways, for example, as 1316818944 + 6790419216 = 36288^2 + 82404^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2856262 + ... + 2859098.

Almost surely, 2^8107238160 is an apocalyptic number.

8107238160 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 8107238160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443352134).

8107238160 is an abundant number, since it is smaller than the sum of its proper divisors (24779466108).

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

8107238160 is a wasteful number, since it uses less digits than its factorization.

8107238160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8107238160 is about 90040.2030206507. The cubic root of 8107238160 is about 2008.8968774337.

The spelling of 8107238160 in words is "eight billion, one hundred seven million, two hundred thirty-eight thousand, one hundred sixty".