214568640 has 336 divisors, whose sum is σ = 868716576. Its totient is φ = 47923200.

The previous prime is 214568573. The next prime is 214568689. The reversal of 214568640 is 46865412.

214568640 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 6 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214568595 and 214568604.

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 47 ways as a sum of consecutive naturals, for example, 411580 + ... + 412100.

It is an arithmetic number, because the mean of its divisors is an integer number (2585466).

Almost surely, 2^214568640 is an apocalyptic number.

214568640 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 214568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434358288).

214568640 is an abundant number, since it is smaller than the sum of its proper divisors (654147936).

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

214568640 is a wasteful number, since it uses less digits than its factorization.

214568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 214568640 is about 14648.1616594029. The cubic root of 214568640 is about 598.6717283272.

The spelling of 214568640 in words is "two hundred fourteen million, five hundred sixty-eight thousand, six hundred forty".