218712960 has 160 divisors (see below), whose sum is σ = 781248600. Its totient is φ = 58309632.

The previous prime is 218712959. The next prime is 218713013. The reversal of 218712960 is 69217812.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49731 + ... + 53949.

Almost surely, 2^218712960 is an apocalyptic number.

218712960 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 218712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390624300).

218712960 is an abundant number, since it is smaller than the sum of its proper divisors (562535640).

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

218712960 is an equidigital number, since it uses as much as digits as its factorization.

218712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 218712960 is about 14788.9472241942. The cubic root of 218712960 is about 602.5015558691.

The spelling of 218712960 in words is "two hundred eighteen million, seven hundred twelve thousand, nine hundred sixty".