217125040 has 80 divisors (see below), whose sum is σ = 553464576. Its totient is φ = 78560000.

The previous prime is 217124993. The next prime is 217125049. The reversal of 217125040 is 40521712.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (217125049) 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, 220389 + ... + 221371.

Almost surely, 2^217125040 is an apocalyptic number.

217125040 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 217125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276732288).

217125040 is an abundant number, since it is smaller than the sum of its proper divisors (336339536).

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

217125040 is a wasteful number, since it uses less digits than its factorization.

217125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 217125040 is about 14735.1633855889. The cubic root of 217125040 is about 601.0399003413.

Adding to 217125040 its reverse (40521712), we get a palindrome (257646752).

The spelling of 217125040 in words is "two hundred seventeen million, one hundred twenty-five thousand, forty".