214338160 has 80 divisors (see below), whose sum is σ = 516341952. Its totient is φ = 82688000.

The previous prime is 214338149. The next prime is 214338169. The reversal of 214338160 is 61833412.

214338160 is a nontrivial binomial coefficient, being equal to C(20705, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214338169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330957 + ... + 331603.

Almost surely, 2^214338160 is an apocalyptic number.

214338160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214338160 is the 20704-th triangular number.

214338160 is the 6902-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258170976).

214338160 is an abundant number, since it is smaller than the sum of its proper divisors (302003792).

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

214338160 is a wasteful number, since it uses less digits than its factorization.

214338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 214338160 is about 14640.2923468078. The cubic root of 214338160 is about 598.4572961000.

The spelling of 214338160 in words is "two hundred fourteen million, three hundred thirty-eight thousand, one hundred sixty".