214110160 has 80 divisors (see below), whose sum is σ = 545268672. Its totient is φ = 77542400.

The previous prime is 214110139. The next prime is 214110173. The reversal of 214110160 is 61011412.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410700 + ... + 411220.

Almost surely, 2^214110160 is an apocalyptic number.

214110160 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 214110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272634336).

214110160 is an abundant number, since it is smaller than the sum of its proper divisors (331158512).

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

214110160 is a wasteful number, since it uses less digits than its factorization.

214110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 214110160 is about 14632.5035451901. The cubic root of 214110160 is about 598.2450198944.

Adding to 214110160 its reverse (61011412), we get a palindrome (275121572).

The spelling of 214110160 in words is "two hundred fourteen million, one hundred ten thousand, one hundred sixty".