217066848 has 48 divisors (see below), whose sum is σ = 573935040. Its totient is φ = 71830656.

The previous prime is 217066813. The next prime is 217066909. The reversal of 217066848 is 848660712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5211 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (11956980).

Almost surely, 2^217066848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217066848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286967520).

217066848 is an abundant number, since it is smaller than the sum of its proper divisors (356868192).

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

217066848 is a wasteful number, since it uses less digits than its factorization.

217066848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 217066848 is about 14733.1886569066. The cubic root of 217066848 is about 600.9862003489.

The spelling of 217066848 in words is "two hundred seventeen million, sixty-six thousand, eight hundred forty-eight".