214712160 has 192 divisors, whose sum is σ = 767128320. Its totient is φ = 50042880.

The previous prime is 214712093. The next prime is 214712161. The reversal of 214712160 is 61217412.

214712160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214712160² = 92202623303731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214712160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214712161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117655 + ... + 119465.

It is an arithmetic number, because the mean of its divisors is an integer number (3995460).

Almost surely, 2^214712160 is an apocalyptic number.

214712160 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 214712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383564160).

214712160 is an abundant number, since it is smaller than the sum of its proper divisors (552416160).

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

214712160 is a wasteful number, since it uses less digits than its factorization.

214712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 214712160 is about 14653.0597487351. The cubic root of 214712160 is about 598.8051778015.

Adding to 214712160 its reverse (61217412), we get a palindrome (275929572).

The spelling of 214712160 in words is "two hundred fourteen million, seven hundred twelve thousand, one hundred sixty".