216382080 has 128 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 57344000.

The previous prime is 216382057. The next prime is 216382123. The reversal of 216382080 is 80283612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481696 + ... + 482144.

Almost surely, 2^216382080 is an apocalyptic number.

216382080 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 216382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

216382080 is an abundant number, since it is smaller than the sum of its proper divisors (477625920).

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

216382080 is a wasteful number, since it uses less digits than its factorization.

216382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 216382080 is about 14709.9313390648. The cubic root of 216382080 is about 600.3535693847.

The spelling of 216382080 in words is "two hundred sixteen million, three hundred eighty-two thousand, eighty".