214486656 has 64 divisors (see below), whose sum is σ = 574888320. Its totient is φ = 70848512.

The previous prime is 214486633. The next prime is 214486663. The reversal of 214486656 is 656684412.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 40921 + ... + 45863.

It is an arithmetic number, because the mean of its divisors is an integer number (8982630).

Almost surely, 2^214486656 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 214486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287444160).

214486656 is an abundant number, since it is smaller than the sum of its proper divisors (360401664).

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

214486656 is a wasteful number, since it uses less digits than its factorization.

214486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5061 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 214486656 is about 14645.3629521429. The cubic root of 214486656 is about 598.5954702815.

The spelling of 214486656 in words is "two hundred fourteen million, four hundred eighty-six thousand, six hundred fifty-six".