214059168 has 72 divisors (see below), whose sum is σ = 640785600. Its totient is φ = 67595904.

The previous prime is 214059163. The next prime is 214059199. The reversal of 214059168 is 861950412.

214059168 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 591 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214059163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14088 + ... + 25031.

It is an arithmetic number, because the mean of its divisors is an integer number (8899800).

Almost surely, 2^214059168 is an apocalyptic number.

It is an amenable number.

214059168 is an abundant number, since it is smaller than the sum of its proper divisors (426726432).

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

214059168 is a wasteful number, since it uses less digits than its factorization.

214059168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39154 (or 39143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 214059168 is about 14630.7610191678. The cubic root of 214059168 is about 598.1975238888.

The spelling of 214059168 in words is "two hundred fourteen million, fifty-nine thousand, one hundred sixty-eight".