218020824 has 96 divisors (see below), whose sum is σ = 678132000. Its totient is φ = 61986816.

The previous prime is 218020807. The next prime is 218020889. The reversal of 218020824 is 428020812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114472 + ... + 116360.

It is an arithmetic number, because the mean of its divisors is an integer number (7063875).

Almost surely, 2^218020824 is an apocalyptic number.

218020824 is a gapful number since it is divisible by the number (24) 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 218020824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339066000).

218020824 is an abundant number, since it is smaller than the sum of its proper divisors (460111176).

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

218020824 is a wasteful number, since it uses less digits than its factorization.

218020824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 218020824 is about 14765.5282330163. The cubic root of 218020824 is about 601.8653282414.

The spelling of 218020824 in words is "two hundred eighteen million, twenty thousand, eight hundred twenty-four".