8008238160 has 120 divisors (see below), whose sum is σ = 28963161864. Its totient is φ = 1971256320.

The previous prime is 8008238143. The next prime is 8008238191. The reversal of 8008238160 is 618328008.

It can be written as a sum of positive squares in 4 ways, for example, as 203575824 + 7804662336 = 14268^2 + 88344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418431 + ... + 437150.

Almost surely, 2^8008238160 is an apocalyptic number.

8008238160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008238160 is an abundant number, since it is smaller than the sum of its proper divisors (20954923704).

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

8008238160 is a wasteful number, since it uses less digits than its factorization.

8008238160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855613 (or 855604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8008238160 is about 89488.7599645900. The cubic root of 8008238160 is about 2000.6862778178.

The spelling of 8008238160 in words is "eight billion, eight million, two hundred thirty-eight thousand, one hundred sixty".