214820608 has 36 divisors (see below), whose sum is σ = 431958520. Its totient is φ = 106619904.

The previous prime is 214820587. The next prime is 214820623. The reversal of 214820608 is 806028412.

214820608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214820608² = 92295787242979328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214820608.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 32566 + ... + 38602.

Almost surely, 2^214820608 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 214820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215979260).

214820608 is an abundant number, since it is smaller than the sum of its proper divisors (217137912).

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

214820608 is an equidigital number, since it uses as much as digits as its factorization.

214820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 214820608 is about 14656.7598056323. The cubic root of 214820608 is about 598.9059767714.

The spelling of 214820608 in words is "two hundred fourteen million, eight hundred twenty thousand, six hundred eight".