216810496 has 132 divisors (see below), whose sum is σ = 525055500. Its totient is φ = 89112576.

The previous prime is 216810487. The next prime is 216810527. The reversal of 216810496 is 694018612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 151782400 = 8064^2 + 12320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455030 + ... + 1455178.

Almost surely, 2^216810496 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 216810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262527750).

216810496 is an abundant number, since it is smaller than the sum of its proper divisors (308245004).

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

216810496 is a wasteful number, since it uses less digits than its factorization.

216810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 216810496 is about 14724.4862728721. The cubic root of 216810496 is about 600.7495225626.

The spelling of 216810496 in words is "two hundred sixteen million, eight hundred ten thousand, four hundred ninety-six".