217364064 has 48 divisors (see below), whose sum is σ = 588994560. Its totient is φ = 70116480.

The previous prime is 217364051. The next prime is 217364113. The reversal of 217364064 is 460463712.

It is a happy number.

217364064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 33544 + ... + 39495.

It is an arithmetic number, because the mean of its divisors is an integer number (12270720).

Almost surely, 2^217364064 is an apocalyptic number.

217364064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217364064 is an abundant number, since it is smaller than the sum of its proper divisors (371630496).

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

217364064 is a wasteful number, since it uses less digits than its factorization.

217364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73083 (or 73075 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 217364064 is about 14743.2718214106. The cubic root of 217364064 is about 601.2603728024.

The spelling of 217364064 in words is "two hundred seventeen million, three hundred sixty-four thousand, sixty-four".