214964640 has 288 divisors, whose sum is σ = 822249792. Its totient is φ = 50688000.

The previous prime is 214964639. The next prime is 214964653. The reversal of 214964640 is 46469412.

214964640 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 6 + 4 + 640 = 666.

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

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 214964595 and 214964604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649275 + ... + 649605.

It is an arithmetic number, because the mean of its divisors is an integer number (2855034).

Almost surely, 2^214964640 is an apocalyptic number.

214964640 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 214964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411124896).

214964640 is an abundant number, since it is smaller than the sum of its proper divisors (607285152).

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

214964640 is a wasteful number, since it uses less digits than its factorization.

214964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 214964640 is about 14661.6724830423. The cubic root of 214964640 is about 599.0397975050.

The spelling of 214964640 in words is "two hundred fourteen million, nine hundred sixty-four thousand, six hundred forty".