536580 has 72 divisors (see below), whose sum is σ = 1782144. Its totient is φ = 129600.

The previous prime is 536563. The next prime is 536593. The reversal of 536580 is 85635.

536580 is a `hidden beast` number, since 5 + 3 + 658 + 0 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2⁵³⁶⁵⁸⁰ 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 536580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072).

536580 is an abundant number, since it is smaller than the sum of its proper divisors (1245564).

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

536580 is a wasteful number, since it uses less digits than its factorization.

536580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

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

The square root of 536580 is about 732.5162114247. The cubic root of 536580 is about 81.2602511721.

It can be divided in two parts, 5365 and 80, that added together give a palindrome (5445).

The spelling of 536580 in words is "five hundred thirty-six thousand, five hundred eighty".