214062912 has 280 divisors, whose sum is σ = 770071104. Its totient is φ = 57397248.

The previous prime is 214062899. The next prime is 214062917. The reversal of 214062912 is 219260412.

214062912 is a `hidden beast` number, since 21 + 4 + 0 + 629 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214062917) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 616723 + ... + 617069.

Almost surely, 2^214062912 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 214062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385035552).

214062912 is an abundant number, since it is smaller than the sum of its proper divisors (556008192).

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

214062912 is a wasteful number, since it uses less digits than its factorization.

214062912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214062912 is about 14630.8889682070. Note that the first 3 decimals coincide. The cubic root of 214062912 is about 598.2010114579.

The spelling of 214062912 in words is "two hundred fourteen million, sixty-two thousand, nine hundred twelve".