216087360 has 224 divisors, whose sum is σ = 726838272. Its totient is φ = 54312960.

The previous prime is 216087359. The next prime is 216087367. The reversal of 216087360 is 63780612.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216087367) 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, 1577212 + ... + 1577348.

Almost surely, 2^216087360 is an apocalyptic number.

216087360 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 216087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363419136).

216087360 is an abundant number, since it is smaller than the sum of its proper divisors (510750912).

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

216087360 is a wasteful number, since it uses less digits than its factorization.

216087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 216087360 is about 14699.9102038074. The cubic root of 216087360 is about 600.0808779863.

The spelling of 216087360 in words is "two hundred sixteen million, eighty-seven thousand, three hundred sixty".