216832560 has 160 divisors (see below), whose sum is σ = 808757760. Its totient is φ = 46946304.

The previous prime is 216832549. The next prime is 216832571. The reversal of 216832560 is 65238612.

It is an interprime number because it is at equal distance from previous prime (216832549) and next prime (216832571).

It is an unprimeable number.

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, 28524 + ... + 35316.

It is an arithmetic number, because the mean of its divisors is an integer number (5054736).

Almost surely, 2^216832560 is an apocalyptic number.

216832560 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 216832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404378880).

216832560 is an abundant number, since it is smaller than the sum of its proper divisors (591925200).

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

216832560 is a wasteful number, since it uses less digits than its factorization.

216832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 216832560 is about 14725.2354819881. The cubic root of 216832560 is about 600.7699005549.

The spelling of 216832560 in words is "two hundred sixteen million, eight hundred thirty-two thousand, five hundred sixty".