213688704 has 128 divisors (see below), whose sum is σ = 607104000. Its totient is φ = 66447360.

The previous prime is 213688703. The next prime is 213688711. The reversal of 213688704 is 407886312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213688703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344907 + ... + 345525.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2^213688704 is an apocalyptic number.

213688704 is a gapful number since it is divisible by the number (24) 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 213688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

213688704 is an abundant number, since it is smaller than the sum of its proper divisors (393415296).

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

213688704 is a wasteful number, since it uses less digits than its factorization.

213688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 213688704 is about 14618.0950879381. The cubic root of 213688704 is about 597.8522321065.

The spelling of 213688704 in words is "two hundred thirteen million, six hundred eighty-eight thousand, seven hundred four".