218873088 has 216 divisors, whose sum is σ = 741039936. Its totient is φ = 60825600.

The previous prime is 218873087. The next prime is 218873089. The reversal of 218873088 is 880378812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218873087) and next prime (218873089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218873087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661083 + ... + 661413.

Almost surely, 2^218873088 is an apocalyptic number.

218873088 is a gapful number since it is divisible by the number (28) 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 218873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370519968).

218873088 is an abundant number, since it is smaller than the sum of its proper divisors (522166848).

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

218873088 is a wasteful number, since it uses less digits than its factorization.

218873088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 218873088 is about 14794.3600064349. The cubic root of 218873088 is about 602.6485580309.

The spelling of 218873088 in words is "two hundred eighteen million, eight hundred seventy-three thousand, eighty-eight".