214352640 has 216 divisors, whose sum is σ = 774839520. Its totient is φ = 54607872.

The previous prime is 214352629. The next prime is 214352653. The reversal of 214352640 is 46253412.

214352640 is a `hidden beast` number, since 2 + 14 + 3 + 5 + 2 + 640 = 666.

214352640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264556 + ... + 265364.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^214352640 is an apocalyptic number.

214352640 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 214352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419760).

214352640 is an abundant number, since it is smaller than the sum of its proper divisors (560486880).

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

214352640 is a wasteful number, since it uses less digits than its factorization.

214352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 214352640 is about 14640.7868640999. The cubic root of 214352640 is about 598.4707724163.

The spelling of 214352640 in words is "two hundred fourteen million, three hundred fifty-two thousand, six hundred forty".