361568160 has 144 divisors (see below), whose sum is σ = 1239920136. Its totient is φ = 95944704.

The previous prime is 361568149. The next prime is 361568219. The reversal of 361568160 is 61865163.

It is a happy number.

361568160 is a `hidden beast` number, since 36 + 1 + 568 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 355397904 + 6170256 = 18852^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 369592 + ... + 370568.

Almost surely, 2^361568160 is an apocalyptic number.

361568160 is a gapful number since it is divisible by the number (30) 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 361568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619960068).

361568160 is an abundant number, since it is smaller than the sum of its proper divisors (878351976).

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

361568160 is a wasteful number, since it uses less digits than its factorization.

361568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 361568160 is about 19014.9457006850. The cubic root of 361568160 is about 712.4100865302.

The spelling of 361568160 in words is "three hundred sixty-one million, five hundred sixty-eight thousand, one hundred sixty".