213719664 has 40 divisors (see below), whose sum is σ = 556472320. Its totient is φ = 70676928.

The previous prime is 213719663. The next prime is 213719719. The reversal of 213719664 is 466917312.

213719664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213719663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11434 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (13911808).

Almost surely, 2^213719664 is an apocalyptic number.

213719664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213719664 is an abundant number, since it is smaller than the sum of its proper divisors (342752656).

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

213719664 is a wasteful number, since it uses less digits than its factorization.

213719664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35197 (or 35191 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 213719664 is about 14619.1540110911. The cubic root of 213719664 is about 597.8811037173.

The spelling of 213719664 in words is "two hundred thirteen million, seven hundred nineteen thousand, six hundred sixty-four".