216057768 has 64 divisors (see below), whose sum is σ = 567941760. Its totient is φ = 68361216.

The previous prime is 216057767. The next prime is 216057773. The reversal of 216057768 is 867750612.

It is a super-2 number, since 2×216057768² = 93361918226283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216057761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74196 + ... + 77052.

It is an arithmetic number, because the mean of its divisors is an integer number (8874090).

Almost surely, 2^216057768 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 216057768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283970880).

216057768 is an abundant number, since it is smaller than the sum of its proper divisors (351883992).

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

216057768 is a wasteful number, since it uses less digits than its factorization.

216057768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 216057768 is about 14698.9036325843. The cubic root of 216057768 is about 600.0534841212.

The spelling of 216057768 in words is "two hundred sixteen million, fifty-seven thousand, seven hundred sixty-eight".