216242880 has 168 divisors, whose sum is σ = 798838128. Its totient is φ = 49416192.

The previous prime is 216242869. The next prime is 216242899. The reversal of 216242880 is 88242612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 44742 + ... + 49338.

Almost surely, 2^216242880 is an apocalyptic number.

216242880 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 216242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399419064).

216242880 is an abundant number, since it is smaller than the sum of its proper divisors (582595248).

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

216242880 is a wasteful number, since it uses less digits than its factorization.

216242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 216242880 is about 14705.1990805973. The cubic root of 216242880 is about 600.2248046498.

The spelling of 216242880 in words is "two hundred sixteen million, two hundred forty-two thousand, eight hundred eighty".