218820096 has 160 divisors (see below), whose sum is σ = 707097600. Its totient is φ = 66263040.

The previous prime is 218820089. The next prime is 218820097. The reversal of 218820096 is 690028812.

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 218820096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218820097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151345 + ... + 152783.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^218820096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

218820096 is an abundant number, since it is smaller than the sum of its proper divisors (488277504).

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

218820096 is a wasteful number, since it uses less digits than its factorization.

218820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218820096 is about 14792.5689452509. The cubic root of 218820096 is about 602.5999177734.

The spelling of 218820096 in words is "two hundred eighteen million, eight hundred twenty thousand, ninety-six".