360805008 has 160 divisors (see below), whose sum is σ = 1039219200. Its totient is φ = 107347968.

The previous prime is 360804989. The next prime is 360805009. The reversal of 360805008 is 800508063.

360805008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (360805009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1869360 + ... + 1869552.

It is an arithmetic number, because the mean of its divisors is an integer number (6495120).

Almost surely, 2^360805008 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 360805008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519609600).

360805008 is an abundant number, since it is smaller than the sum of its proper divisors (678414192).

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

360805008 is a wasteful number, since it uses less digits than its factorization.

360805008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 360805008 is about 18994.8679384722. The cubic root of 360805008 is about 711.9085120002.

The spelling of 360805008 in words is "three hundred sixty million, eight hundred five thousand, eight".