217948020 has 48 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 58057216.

The previous prime is 217948009. The next prime is 217948051. The reversal of 217948020 is 20849712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92011 + ... + 94349.

It is an arithmetic number, because the mean of its divisors is an integer number (12727260).

Almost surely, 2^217948020 is an apocalyptic number.

217948020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217948020 is an abundant number, since it is smaller than the sum of its proper divisors (392960460).

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

217948020 is a wasteful number, since it uses less digits than its factorization.

217948020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 217948020 is about 14763.0626903770. The cubic root of 217948020 is about 601.7983268714.

The spelling of 217948020 in words is "two hundred seventeen million, nine hundred forty-eight thousand, twenty".