216275360 has 192 divisors, whose sum is σ = 637072128. Its totient is φ = 67682304.

The previous prime is 216275357. The next prime is 216275363. The reversal of 216275360 is 63572612.

216275360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216275357) and next prime (216275363).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (216275363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 704327 + ... + 704633.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084).

Almost surely, 2^216275360 is an apocalyptic number.

216275360 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 216275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

216275360 is an abundant number, since it is smaller than the sum of its proper divisors (420796768).

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

216275360 is a wasteful number, since it uses less digits than its factorization.

216275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 216275360 is about 14706.3034104427. The cubic root of 216275360 is about 600.2548546961.

The spelling of 216275360 in words is "two hundred sixteen million, two hundred seventy-five thousand, three hundred sixty".