214166656 has 64 divisors (see below), whose sum is σ = 478143360. Its totient is φ = 94694400.

The previous prime is 214166647. The next prime is 214166671. The reversal of 214166656 is 656661412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50041 + ... + 54151.

It is an arithmetic number, because the mean of its divisors is an integer number (7470990).

Almost surely, 2^214166656 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 214166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239071680).

214166656 is an abundant number, since it is smaller than the sum of its proper divisors (263976704).

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

214166656 is a wasteful number, since it uses less digits than its factorization.

214166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4161 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 214166656 is about 14634.4339145728. The cubic root of 214166656 is about 598.2976337426.

The spelling of 214166656 in words is "two hundred fourteen million, one hundred sixty-six thousand, six hundred fifty-six".