216605088 has 108 divisors (see below), whose sum is σ = 716584050. Its totient is φ = 61883136.

The previous prime is 216605071. The next prime is 216605113. The reversal of 216605088 is 880506612.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 196784784 + 19820304 = 14028^2 + 4452^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6438 + ... + 21786.

Almost surely, 2^216605088 is an apocalyptic number.

216605088 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 216605088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358292025).

216605088 is an abundant number, since it is smaller than the sum of its proper divisors (499978962).

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

216605088 is a wasteful number, since it uses less digits than its factorization.

216605088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 216605088 is about 14717.5095719351. The cubic root of 216605088 is about 600.5597443148.

The spelling of 216605088 in words is "two hundred sixteen million, six hundred five thousand, eighty-eight".