216815104 has 80 divisors (see below), whose sum is σ = 477732816. Its totient is φ = 97484800.

The previous prime is 216815101. The next prime is 216815113. The reversal of 216815104 is 401518612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216815101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771444 + ... + 771724.

Almost surely, 2^216815104 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 216815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238866408).

216815104 is an abundant number, since it is smaller than the sum of its proper divisors (260917712).

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

216815104 is a wasteful number, since it uses less digits than its factorization.

216815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 216815104 is about 14724.6427460907. The cubic root of 216815104 is about 600.7537785592.

The spelling of 216815104 in words is "two hundred sixteen million, eight hundred fifteen thousand, one hundred four".