216682560 has 224 divisors, whose sum is σ = 790041600. Its totient is φ = 55848960.

The previous prime is 216682523. The next prime is 216682567. The reversal of 216682560 is 65286612.

216682560 is a `hidden beast` number, since 2 + 16 + 6 + 82 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216682567) 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, 267436 + ... + 268244.

Almost surely, 2^216682560 is an apocalyptic number.

216682560 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 216682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

216682560 is an abundant number, since it is smaller than the sum of its proper divisors (573359040).

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

216682560 is a wasteful number, since it uses less digits than its factorization.

216682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 216682560 is about 14720.1413036696. The cubic root of 216682560 is about 600.6313354596.

The spelling of 216682560 in words is "two hundred sixteen million, six hundred eighty-two thousand, five hundred sixty".