218461860 has 144 divisors (see below), whose sum is σ = 697132800. Its totient is φ = 57417984.

The previous prime is 218461853. The next prime is 218461871. The reversal of 218461860 is 68164812.

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

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 47 ways as a sum of consecutive naturals, for example, 383656 + ... + 384224.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2^218461860 is an apocalyptic number.

218461860 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 218461860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

218461860 is an abundant number, since it is smaller than the sum of its proper divisors (478670940).

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

218461860 is a wasteful number, since it uses less digits than its factorization.

218461860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218461860 is about 14780.4553380469. The cubic root of 218461860 is about 602.2708942223.

The spelling of 218461860 in words is "two hundred eighteen million, four hundred sixty-one thousand, eight hundred sixty".