214064640 has 320 divisors, whose sum is σ = 805305600. Its totient is φ = 53747712.

The previous prime is 214064639. The next prime is 214064693. The reversal of 214064640 is 46460412.

214064640 is a `hidden beast` number, since 2 + 14 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313199 + ... + 1313361.

It is an arithmetic number, because the mean of its divisors is an integer number (2516580).

Almost surely, 2^214064640 is an apocalyptic number.

214064640 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 214064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402652800).

214064640 is an abundant number, since it is smaller than the sum of its proper divisors (591240960).

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

214064640 is a wasteful number, since it uses less digits than its factorization.

214064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214064640 is about 14630.9480212323. The cubic root of 214064640 is about 598.2026210915.

The spelling of 214064640 in words is "two hundred fourteen million, sixty-four thousand, six hundred forty".