216615360 has 224 divisors, whose sum is σ = 784994112. Its totient is φ = 50135040.

The previous prime is 216615349. The next prime is 216615361. The reversal of 216615360 is 63516612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216615361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211650 + ... + 212670.

It is an arithmetic number, because the mean of its divisors is an integer number (3504438).

Almost surely, 2^216615360 is an apocalyptic number.

216615360 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 216615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392497056).

216615360 is an abundant number, since it is smaller than the sum of its proper divisors (568378752).

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

216615360 is a wasteful number, since it uses less digits than its factorization.

216615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 216615360 is about 14717.8585398828. The cubic root of 216615360 is about 600.5692375547.

The spelling of 216615360 in words is "two hundred sixteen million, six hundred fifteen thousand, three hundred sixty".