214841160 has 288 divisors, whose sum is σ = 780736320. Its totient is φ = 53032320.

The previous prime is 214841149. The next prime is 214841161. The reversal of 214841160 is 61148412.

It is a happy number.

214841160 is a `hidden beast` number, since 21 + 484 + 1 + 160 = 666.

214841160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (214841161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6930345 + ... + 6930375.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890).

Almost surely, 2^214841160 is an apocalyptic number.

214841160 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 214841160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390368160).

214841160 is an abundant number, since it is smaller than the sum of its proper divisors (565895160).

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

214841160 is a wasteful number, since it uses less digits than its factorization.

214841160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 214841160 is about 14657.4608988051. The cubic root of 214841160 is about 598.9250753785.

Adding to 214841160 its reverse (61148412), we get a palindrome (275989572).

The spelling of 214841160 in words is "two hundred fourteen million, eight hundred forty-one thousand, one hundred sixty".