218424096 has 72 divisors (see below), whose sum is σ = 677620944. Its totient is φ = 66188160.

The previous prime is 218424071. The next prime is 218424121. The reversal of 218424096 is 690424812.

It is an interprime number because it is at equal distance from previous prime (218424071) and next prime (218424121).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 218424096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31306 + ... + 37641.

It is an arithmetic number, because the mean of its divisors is an integer number (9411402).

Almost surely, 2^218424096 is an apocalyptic number.

It is an amenable number.

218424096 is an abundant number, since it is smaller than the sum of its proper divisors (459196848).

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

218424096 is a wasteful number, since it uses less digits than its factorization.

218424096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68974 (or 68963 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 218424096 is about 14779.1777849784. The cubic root of 218424096 is about 602.2361887460.

The spelling of 218424096 in words is "two hundred eighteen million, four hundred twenty-four thousand, ninety-six".