218206560 has 432 divisors, whose sum is σ = 864310608. Its totient is φ = 45957120.

The previous prime is 218206559. The next prime is 218206591. The reversal of 218206560 is 65602812.

It is a super-2 number, since 2×218206560² = 95228205654067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12835672 + ... + 12835688.

It is an arithmetic number, because the mean of its divisors is an integer number (2000719).

Almost surely, 2^218206560 is an apocalyptic number.

218206560 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 218206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432155304).

218206560 is an abundant number, since it is smaller than the sum of its proper divisors (646104048).

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

218206560 is a wasteful number, since it uses less digits than its factorization.

218206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 218206560 is about 14771.8164082824. The cubic root of 218206560 is about 602.0361931566.

The spelling of 218206560 in words is "two hundred eighteen million, two hundred six thousand, five hundred sixty".