213912768 has 56 divisors (see below), whose sum is σ = 599279472. Its totient is φ = 67108864.

The previous prime is 213912767. The next prime is 213912833. The reversal of 213912768 is 867219312.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (213912761) by changing a digit.

In principle, a polygon with 213912768 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29505 + ... + 36032.

Almost surely, 2^213912768 is an apocalyptic number.

It is an amenable number.

213912768 is an abundant number, since it is smaller than the sum of its proper divisors (385366704).

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

213912768 is a wasteful number, since it uses less digits than its factorization.

213912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65569 (or 65559 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 213912768 is about 14625.7570060493. The cubic root of 213912768 is about 598.0611190947.

The spelling of 213912768 in words is "two hundred thirteen million, nine hundred twelve thousand, seven hundred sixty-eight".