218160000 has 320 divisors, whose sum is σ = 812552400. Its totient is φ = 57600000.

The previous prime is 218159999. The next prime is 218160013. The reversal of 218160000 is 61812.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159950 + ... + 2160050.

Almost surely, 2^218160000 is an apocalyptic number.

218160000 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 218160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406276200).

218160000 is an abundant number, since it is smaller than the sum of its proper divisors (594392400).

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

218160000 is an equidigital number, since it uses as much as digits as its factorization.

218160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 218160000 is about 14770.2403501094. The cubic root of 218160000 is about 601.9933701253.

The spelling of 218160000 in words is "two hundred eighteen million, one hundred sixty thousand".