214030080 has 288 divisors, whose sum is σ = 830027520. Its totient is φ = 51793920.

The previous prime is 214030073. The next prime is 214030097. The reversal of 214030080 is 80030412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 379879 + ... + 380441.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 2^214030080 is an apocalyptic number.

214030080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415013760).

214030080 is an abundant number, since it is smaller than the sum of its proper divisors (615997440).

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

214030080 is a wasteful number, since it uses less digits than its factorization.

214030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214030080 is about 14629.7669154365. The cubic root of 214030080 is about 598.1704267736.

Adding to 214030080 its reverse (80030412), we get a palindrome (294060492).

The spelling of 214030080 in words is "two hundred fourteen million, thirty thousand, eighty".