218047840 has 96 divisors (see below), whose sum is σ = 540673056. Its totient is φ = 83005440.

The previous prime is 218047829. The next prime is 218047859. The reversal of 218047840 is 48740812.

It is a junction number, because it is equal to n+sod(n) for n = 218047796 and 218047805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281694 + ... + 282466.

It is an arithmetic number, because the mean of its divisors is an integer number (5632011).

Almost surely, 2^218047840 is an apocalyptic number.

218047840 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 218047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270336528).

218047840 is an abundant number, since it is smaller than the sum of its proper divisors (322625216).

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

218047840 is a wasteful number, since it uses less digits than its factorization.

218047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 218047840 is about 14766.4430381863. The cubic root of 218047840 is about 601.8901872156.

The spelling of 218047840 in words is "two hundred eighteen million, forty-seven thousand, eight hundred forty".