214656768 has 108 divisors (see below), whose sum is σ = 624016848. Its totient is φ = 70963200.

The previous prime is 214656763. The next prime is 214656779. The reversal of 214656768 is 867656412.

214656768 is a `hidden beast` number, since 21 + 4 + 6 + 567 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214656763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347596 + ... + 348212.

Almost surely, 2^214656768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312008424).

214656768 is an abundant number, since it is smaller than the sum of its proper divisors (409360080).

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

214656768 is a wasteful number, since it uses less digits than its factorization.

214656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 214656768 is about 14651.1695096330. The cubic root of 214656768 is about 598.7536796016.

The spelling of 214656768 in words is "two hundred fourteen million, six hundred fifty-six thousand, seven hundred sixty-eight".