214240656 has 160 divisors (see below), whose sum is σ = 684559360. Its totient is φ = 56360448.

The previous prime is 214240639. The next prime is 214240667. The reversal of 214240656 is 656042412.

It is a super-3 number, since 3×214240656³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 235755 + ... + 236661.

It is an arithmetic number, because the mean of its divisors is an integer number (4278496).

Almost surely, 2^214240656 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 214240656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342279680).

214240656 is an abundant number, since it is smaller than the sum of its proper divisors (470318704).

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

214240656 is a wasteful number, since it uses less digits than its factorization.

214240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 214240656 is about 14636.9619798645. The cubic root of 214240656 is about 598.3665347991.

The spelling of 214240656 in words is "two hundred fourteen million, two hundred forty thousand, six hundred fifty-six".