214004160 has 448 divisors, whose sum is σ = 842711040. Its totient is φ = 50872320.

The previous prime is 214004123. The next prime is 214004183. The reversal of 214004160 is 61400412.

214004160 is digitally balanced in base 3, 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 (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 63 ways as a sum of consecutive naturals, for example, 4553257 + ... + 4553303.

Almost surely, 2^214004160 is an apocalyptic number.

214004160 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 214004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

214004160 is an abundant number, since it is smaller than the sum of its proper divisors (628706880).

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

214004160 is a wasteful number, since it uses less digits than its factorization.

214004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

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

The square root of 214004160 is about 14628.8810235096. The cubic root of 214004160 is about 598.1462787607.

Adding to 214004160 its reverse (61400412), we get a palindrome (275404572).

The spelling of 214004160 in words is "two hundred fourteen million, four thousand, one hundred sixty".