216610080 has 96 divisors (see below), whose sum is σ = 690669504. Its totient is φ = 57056256.

The previous prime is 216610003. The next prime is 216610103. The reversal of 216610080 is 80016612.

216610080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216610080.

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, 37122 + ... + 42558.

It is an arithmetic number, because the mean of its divisors is an integer number (7194474).

Almost surely, 2^216610080 is an apocalyptic number.

216610080 is a gapful number since it is divisible by the number (20) 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 216610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345334752).

216610080 is an abundant number, since it is smaller than the sum of its proper divisors (474059424).

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

216610080 is a wasteful number, since it uses less digits than its factorization.

216610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 216610080 is about 14717.6791648684. The cubic root of 216610080 is about 600.5643578894.

Adding to 216610080 its reverse (80016612), we get a palindrome (296626692).

It can be divided in two parts, 2166 and 10080, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 216610080 in words is "two hundred sixteen million, six hundred ten thousand, eighty".