88218000 has 360 divisors, whose sum is σ = 345145320. Its totient is φ = 20966400.

The previous prime is 88217993. The next prime is 88218001. The reversal of 88218000 is 81288.

88218000 = T₅₅ + T₅₆ + ... + T₈₀₈.

It can be written as a sum of positive squares in 12 ways, for example, as 84934656 + 3283344 = 9216^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88218001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3041986 + ... + 3042014.

It is an arithmetic number, because the mean of its divisors is an integer number (958737).

Almost surely, 2^88218000 is an apocalyptic number.

88218000 is a gapful number since it is divisible by the number (80) 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 88218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172572660).

88218000 is an abundant number, since it is smaller than the sum of its proper divisors (256927320).

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

88218000 is a wasteful number, since it uses less digits than its factorization.

88218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 88218000 is about 9392.4437714580. The cubic root of 88218000 is about 445.1630089167.

Adding to 88218000 its reverse (81288), we get a palindrome (88299288).

The spelling of 88218000 in words is "eighty-eight million, two hundred eighteen thousand".