218141560 has 64 divisors (see below), whose sum is σ = 604094400. Its totient is φ = 69037056.

The previous prime is 218141557. The next prime is 218141563. The reversal of 218141560 is 65141812.

218141560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218141557) and next prime (218141563).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218141563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26325 + ... + 33604.

It is an arithmetic number, because the mean of its divisors is an integer number (9438975).

Almost surely, 2^218141560 is an apocalyptic number.

218141560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218141560 is an abundant number, since it is smaller than the sum of its proper divisors (385952840).

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

218141560 is a wasteful number, since it uses less digits than its factorization.

218141560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59960 (or 59956 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 218141560 is about 14769.6161087552. The cubic root of 218141560 is about 601.9764084602.

It can be divided in two parts, 218 and 141560, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 218141560 in words is "two hundred eighteen million, one hundred forty-one thousand, five hundred sixty".