221580 has 36 divisors (see below), whose sum is σ = 672672. Its totient is φ = 59040.

The previous prime is 221567. The next prime is 221581. The reversal of 221580 is 85122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221580.

It is not an unprimeable number, because it can be changed into a prime (221581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436 + ... + 795.

2²²¹⁵⁸⁰ is an apocalyptic number.

221580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221580 is an abundant number, since it is smaller than the sum of its proper divisors (451092).

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

221580 is a wasteful number, since it uses less digits than its factorization.

221580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 221580 is about 470.7228483938. The cubic root of 221580 is about 60.5122803658.

The spelling of 221580 in words is "two hundred twenty-one thousand, five hundred eighty".