216810048 has 112 divisors (see below), whose sum is σ = 706079360. Its totient is φ = 57176064.

The previous prime is 216810031. The next prime is 216810059. The reversal of 216810048 is 840018612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 216809997 and 216810024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11268 + ... + 23676.

It is an arithmetic number, because the mean of its divisors is an integer number (6304280).

Almost surely, 2^216810048 is an apocalyptic number.

216810048 is a gapful number since it is divisible by the number (28) 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 216810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353039680).

216810048 is an abundant number, since it is smaller than the sum of its proper divisors (489269312).

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

216810048 is a wasteful number, since it uses less digits than its factorization.

216810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444 (or 12434 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 216810048 is about 14724.4710601094. The cubic root of 216810048 is about 600.7491087819.

The spelling of 216810048 in words is "two hundred sixteen million, eight hundred ten thousand, forty-eight".