221166360 has 96 divisors (see below), whose sum is σ = 721319040. Its totient is φ = 58770432.

The previous prime is 221166313. The next prime is 221166377. The reversal of 221166360 is 63661122.

221166360 is a `hidden beast` number, since 2 + 21 + 1 + 6 + 636 + 0 = 666.

It is a congruent number.

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, 120409 + ... + 122231.

It is an arithmetic number, because the mean of its divisors is an integer number (7513740).

Almost surely, 2^221166360 is an apocalyptic number.

221166360 is a gapful number since it is divisible by the number (20) 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 221166360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360659520).

221166360 is an abundant number, since it is smaller than the sum of its proper divisors (500152680).

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

221166360 is a wasteful number, since it uses less digits than its factorization.

221166360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 221166360 is about 14871.6629870368. The cubic root of 221166360 is about 604.7460264046.

The spelling of 221166360 in words is "two hundred twenty-one million, one hundred sixty-six thousand, three hundred sixty".