361360 has 20 divisors (see below), whose sum is σ = 840348. Its totient is φ = 144512.

The previous prime is 361357. The next prime is 361363. The reversal of 361360 is 63163.

361360 = T₁₃₄ + T₁₃₅ + ... + T₁₆₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361357) and next prime (361363).

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 318096 = 208^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (361363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2179 + ... + 2338.

2³⁶¹³⁶⁰ is an apocalyptic number.

It is an amenable number.

361360 is an abundant number, since it is smaller than the sum of its proper divisors (478988).

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

361360 is a wasteful number, since it uses less digits than its factorization.

361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 361360 is about 601.1322649800. The cubic root of 361360 is about 71.2273345368.

The spelling of 361360 in words is "three hundred sixty-one thousand, three hundred sixty".