214089120 has 288 divisors, whose sum is σ = 850082688. Its totient is φ = 48052224.

The previous prime is 214089119. The next prime is 214089149. The reversal of 214089120 is 21980412.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 675202 + ... + 675518.

It is an arithmetic number, because the mean of its divisors is an integer number (2951676).

Almost surely, 2^214089120 is an apocalyptic number.

214089120 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 214089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425041344).

214089120 is an abundant number, since it is smaller than the sum of its proper divisors (635993568).

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

214089120 is a wasteful number, since it uses less digits than its factorization.

214089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 214089120 is about 14631.7845801529. The cubic root of 214089120 is about 598.2254233037.

The spelling of 214089120 in words is "two hundred fourteen million, eighty-nine thousand, one hundred twenty".