365580 has 48 divisors (see below), whose sum is σ = 1139040. Its totient is φ = 97344.

The previous prime is 365569. The next prime is 365587. The reversal of 365580 is 85563.

365580 is a `hidden beast` number, since 3 + 655 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365580.

It is not an unprimeable number, because it can be changed into a prime (365587) by changing a digit.

365580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 202 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (23730).

2³⁶⁵⁵⁸⁰ is an apocalyptic number.

365580 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 365580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569520).

365580 is an abundant number, since it is smaller than the sum of its proper divisors (773460).

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

365580 is a wasteful number, since it uses less digits than its factorization.

365580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 365580 is about 604.6321195570. The cubic root of 365580 is about 71.5035289308.

The spelling of 365580 in words is "three hundred sixty-five thousand, five hundred eighty".