217312648 has 48 divisors (see below), whose sum is σ = 494614080. Its totient is φ = 89080992.

The previous prime is 217312637. The next prime is 217312651. The reversal of 217312648 is 846213712.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3036 + ... + 21067.

It is an arithmetic number, because the mean of its divisors is an integer number (10304460).

Almost surely, 2^217312648 is an apocalyptic number.

217312648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217312648 is an abundant number, since it is smaller than the sum of its proper divisors (277301432).

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

217312648 is a wasteful number, since it uses less digits than its factorization.

217312648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24135 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 217312648 is about 14741.5280076388. The cubic root of 217312648 is about 601.2129610383.

The spelling of 217312648 in words is "two hundred seventeen million, three hundred twelve thousand, six hundred forty-eight".