363560 has 32 divisors (see below), whose sum is σ = 837000. Its totient is φ = 142080.

The previous prime is 363557. The next prime is 363563. The reversal of 363560 is 65363.

It is an interprime number because it is at equal distance from previous prime (363557) and next prime (363563).

It can be written as a sum of positive squares in 4 ways, for example, as 111556 + 252004 = 334^2 + 502^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (363563) 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 7 ways as a sum of consecutive naturals, for example, 2366 + ... + 2514.

2³⁶³⁵⁶⁰ 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 363560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418500).

363560 is an abundant number, since it is smaller than the sum of its proper divisors (473440).

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

363560 is a wasteful number, since it uses less digits than its factorization.

363560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 363560 is about 602.9593684487. The cubic root of 363560 is about 71.3715888396.

The spelling of 363560 in words is "three hundred sixty-three thousand, five hundred sixty".