216552960 has 320 divisors, whose sum is σ = 831821760. Its totient is φ = 53084160.

The previous prime is 216552943. The next prime is 216552977. The reversal of 216552960 is 69255612.

216552960 is a `hidden beast` number, since 2 + 16 + 552 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216552943) and next prime (216552977).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898440 + ... + 898680.

It is an arithmetic number, because the mean of its divisors is an integer number (2599443).

Almost surely, 2^216552960 is an apocalyptic number.

216552960 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 216552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

216552960 is an abundant number, since it is smaller than the sum of its proper divisors (615268800).

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

216552960 is a wasteful number, since it uses less digits than its factorization.

216552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 216552960 is about 14715.7385135779. The cubic root of 216552960 is about 600.5115637137.

The spelling of 216552960 in words is "two hundred sixteen million, five hundred fifty-two thousand, nine hundred sixty".