216573768 has 24 divisors (see below), whose sum is σ = 586554150. Its totient is φ = 72191232.

The previous prime is 216573739. The next prime is 216573779. The reversal of 216573768 is 867375612.

216573768 is a `hidden beast` number, since 2 + 1 + 6 + 573 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195944004 + 20629764 = 13998^2 + 4542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1503913 + ... + 1504056.

Almost surely, 2^216573768 is an apocalyptic number.

It is an amenable number.

216573768 is an abundant number, since it is smaller than the sum of its proper divisors (369980382).

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

216573768 is a wasteful number, since it uses less digits than its factorization.

216573768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007981 (or 3007974 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 216573768 is about 14716.4454947518. The cubic root of 216573768 is about 600.5307969525.

It can be divided in two parts, 21657 and 3768, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 216573768 in words is "two hundred sixteen million, five hundred seventy-three thousand, seven hundred sixty-eight".