216760320 has 384 divisors, whose sum is σ = 896518800. Its totient is φ = 49545216.

The previous prime is 216760289. The next prime is 216760321. The reversal of 216760320 is 23067612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216760321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30965757 + ... + 30965763.

Almost surely, 2^216760320 is an apocalyptic number.

216760320 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 216760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448259400).

216760320 is an abundant number, since it is smaller than the sum of its proper divisors (679758480).

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

216760320 is an frugal number, since it uses more digits than its factorization.

216760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216760320 is about 14722.7823457389. The cubic root of 216760320 is about 600.7031755849.

The spelling of 216760320 in words is "two hundred sixteen million, seven hundred sixty thousand, three hundred twenty".