216673560 has 96 divisors (see below), whose sum is σ = 720617040. Its totient is φ = 56431872.

The previous prime is 216673553. The next prime is 216673571. The reversal of 216673560 is 65376612.

216673560 is a `hidden beast` number, since 21 + 6 + 6 + 73 + 560 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8482 + ... + 22478.

Almost surely, 2^216673560 is an apocalyptic number.

216673560 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 216673560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360308520).

216673560 is an abundant number, since it is smaller than the sum of its proper divisors (503943480).

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

216673560 is a wasteful number, since it uses less digits than its factorization.

216673560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 216673560 is about 14719.8355969080. The cubic root of 216673560 is about 600.6230195205.

The spelling of 216673560 in words is "two hundred sixteen million, six hundred seventy-three thousand, five hundred sixty".