214608240 has 480 divisors, whose sum is σ = 928512000. Its totient is φ = 44029440.

The previous prime is 214608217. The next prime is 214608271. The reversal of 214608240 is 42806412.

214608240 is a `hidden beast` number, since 2 + 14 + 608 + 2 + 40 = 666.

It is a nialpdrome in base 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 95 ways as a sum of consecutive naturals, for example, 2716521 + ... + 2716599.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^214608240 is an apocalyptic number.

214608240 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 214608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256000).

214608240 is an abundant number, since it is smaller than the sum of its proper divisors (713903760).

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

214608240 is a wasteful number, since it uses less digits than its factorization.

214608240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214608240 is about 14649.5133024958. The cubic root of 214608240 is about 598.7085556134.

The spelling of 214608240 in words is "two hundred fourteen million, six hundred eight thousand, two hundred forty".