217040000 has 80 divisors (see below), whose sum is σ = 540506670. Its totient is φ = 86784000.

The previous prime is 217039997. The next prime is 217040009. The reversal of 217040000 is 40712.

It is a happy number.

217040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 40043584 + 176996416 = 6328^2 + 13304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (217040009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78644 + ... + 81356.

Almost surely, 2^217040000 is an apocalyptic number.

217040000 is a gapful number since it is divisible by the number (20) 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 217040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270253335).

217040000 is an abundant number, since it is smaller than the sum of its proper divisors (323466670).

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

217040000 is an frugal number, since it uses more digits than its factorization.

217040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 217040000 is about 14732.2774885623. The cubic root of 217040000 is about 600.9614215877.

Adding to 217040000 its reverse (40712), we get a palindrome (217080712).

The spelling of 217040000 in words is "two hundred seventeen million, forty thousand".