214940160 has 240 divisors, whose sum is σ = 785172960. Its totient is φ = 54190080.

The previous prime is 214940147. The next prime is 214940161. The reversal of 214940160 is 61049412.

214940160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (214940161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 437515 + ... + 438005.

It is an arithmetic number, because the mean of its divisors is an integer number (3271554).

Almost surely, 2^214940160 is an apocalyptic number.

214940160 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 214940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392586480).

214940160 is an abundant number, since it is smaller than the sum of its proper divisors (570232800).

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

214940160 is a wasteful number, since it uses less digits than its factorization.

214940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

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

The square root of 214940160 is about 14660.8376295490. The cubic root of 214940160 is about 599.0170572519.

Adding to 214940160 its reverse (61049412), we get a palindrome (275989572).

The spelling of 214940160 in words is "two hundred fourteen million, nine hundred forty thousand, one hundred sixty".