216827104 has 48 divisors (see below), whose sum is σ = 472173408. Its totient is φ = 97362432.

The previous prime is 216827101. The next prime is 216827131. The reversal of 216827104 is 401728612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216827101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8349 + ... + 22435.

It is an arithmetic number, because the mean of its divisors is an integer number (9836946).

Almost surely, 2^216827104 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 216827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236086704).

216827104 is an abundant number, since it is smaller than the sum of its proper divisors (255346304).

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

216827104 is a wasteful number, since it uses less digits than its factorization.

216827104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14147 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 216827104 is about 14725.0502206274. The cubic root of 216827104 is about 600.7648616006.

The spelling of 216827104 in words is "two hundred sixteen million, eight hundred twenty-seven thousand, one hundred four".