221682960 has 160 divisors (see below), whose sum is σ = 790128000. Its totient is φ = 57060864.

The previous prime is 221682943. The next prime is 221682961. The reversal of 221682960 is 69286122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221682961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60871 + ... + 64409.

It is an arithmetic number, because the mean of its divisors is an integer number (4938300).

Almost surely, 2^221682960 is an apocalyptic number.

221682960 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 221682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395064000).

221682960 is an abundant number, since it is smaller than the sum of its proper divisors (568445040).

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

221682960 is a wasteful number, since it uses less digits than its factorization.

221682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 221682960 is about 14889.0214587796. The cubic root of 221682960 is about 605.2165151786.

The spelling of 221682960 in words is "two hundred twenty-one million, six hundred eighty-two thousand, nine hundred sixty".