214906656 has 96 divisors (see below), whose sum is σ = 613630080. Its totient is φ = 65581056.

The previous prime is 214906651. The next prime is 214906669. The reversal of 214906656 is 656609412.

214906656 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 (96).

It is not an unprimeable number, because it can be changed into a prime (214906651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58605 + ... + 62163.

It is an arithmetic number, because the mean of its divisors is an integer number (6391980).

Almost surely, 2^214906656 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 214906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306815040).

214906656 is an abundant number, since it is smaller than the sum of its proper divisors (398723424).

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

214906656 is a wasteful number, since it uses less digits than its factorization.

214906656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 214906656 is about 14659.6949490772. The cubic root of 214906656 is about 598.9859315185.

The spelling of 214906656 in words is "two hundred fourteen million, nine hundred six thousand, six hundred fifty-six".