217426560 has 256 divisors, whose sum is σ = 773176320. Its totient is φ = 51609600.

The previous prime is 217426553. The next prime is 217426597. The reversal of 217426560 is 65624712.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 773620 + ... + 773900.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2^217426560 is an apocalyptic number.

217426560 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 217426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386588160).

217426560 is an abundant number, since it is smaller than the sum of its proper divisors (555749760).

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

217426560 is a wasteful number, since it uses less digits than its factorization.

217426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 217426560 is about 14745.3911443542. The cubic root of 217426560 is about 601.3179915992.

The spelling of 217426560 in words is "two hundred seventeen million, four hundred twenty-six thousand, five hundred sixty".