365560 has 64 divisors (see below), whose sum is σ = 957600. Its totient is φ = 124416.

The previous prime is 365557. The next prime is 365567. The reversal of 365560 is 65563.

It is a super-2 number, since 2×365560² = 267268227200, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365567) 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 15 ways as a sum of consecutive naturals, for example, 9862 + ... + 9898.

2³⁶⁵⁵⁶⁰ 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 365560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

365560 is an abundant number, since it is smaller than the sum of its proper divisors (592040).

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

365560 is a wasteful number, since it uses less digits than its factorization.

365560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 365560 is about 604.6155803484. The cubic root of 365560 is about 71.5022249784.

The spelling of 365560 in words is "three hundred sixty-five thousand, five hundred sixty".