220827632 has 40 divisors (see below), whose sum is σ = 444971520. Its totient is φ = 106050240.

The previous prime is 220827611. The next prime is 220827641. The reversal of 220827632 is 236728022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67343 + ... + 70545.

It is an arithmetic number, because the mean of its divisors is an integer number (11124288).

Almost surely, 2^220827632 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 220827632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222485760).

220827632 is an abundant number, since it is smaller than the sum of its proper divisors (224143888).

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

220827632 is a wasteful number, since it uses less digits than its factorization.

220827632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 220827632 is about 14860.2702532626. The cubic root of 220827632 is about 604.4371351280.

The spelling of 220827632 in words is "two hundred twenty million, eight hundred twenty-seven thousand, six hundred thirty-two".