214605664 has 72 divisors (see below), whose sum is σ = 522955440. Its totient is φ = 84883968.

The previous prime is 214605649. The next prime is 214605683. The reversal of 214605664 is 466506412.

214605664 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35022 + ... + 40690.

It is an arithmetic number, because the mean of its divisors is an integer number (7263270).

Almost surely, 2^214605664 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 214605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261477720).

214605664 is an abundant number, since it is smaller than the sum of its proper divisors (308349776).

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

214605664 is a wasteful number, since it uses less digits than its factorization.

214605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 214605664 is about 14649.4253812223. The cubic root of 214605664 is about 598.7061601176.

The spelling of 214605664 in words is "two hundred fourteen million, six hundred five thousand, six hundred sixty-four".