361166208 has 128 divisors (see below), whose sum is σ = 1048723200. Its totient is φ = 109455360.

The previous prime is 361166167. The next prime is 361166227. The reversal of 361166208 is 802661163.

361166208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 353923 + ... + 354941.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^361166208 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 361166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524361600).

361166208 is an abundant number, since it is smaller than the sum of its proper divisors (687556992).

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

361166208 is a wasteful number, since it uses less digits than its factorization.

361166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 361166208 is about 19004.3733914065. The cubic root of 361166208 is about 712.1459953951.

It can be divided in two parts, 36116 and 6208, that added together give a palindrome (42324).

The spelling of 361166208 in words is "three hundred sixty-one million, one hundred sixty-six thousand, two hundred eight".