214164656 has 40 divisors (see below), whose sum is σ = 443982000. Its totient is φ = 99774720.

The previous prime is 214164649. The next prime is 214164677. The reversal of 214164656 is 656461412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12770 + ... + 24318.

It is an arithmetic number, because the mean of its divisors is an integer number (11099550).

Almost surely, 2^214164656 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 214164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221991000).

214164656 is an abundant number, since it is smaller than the sum of its proper divisors (229817344).

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

214164656 is a wasteful number, since it uses less digits than its factorization.

214164656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11631 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 214164656 is about 14634.3655824228. The cubic root of 214164656 is about 598.2957713316.

The spelling of 214164656 in words is "two hundred fourteen million, one hundred sixty-four thousand, six hundred fifty-six".