18605968 has 40 divisors (see below), whose sum is σ = 37785528. Its totient is φ = 8865792.

The previous prime is 18605963. The next prime is 18605969. The reversal of 18605968 is 86950681.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 9168784 = 3072^2 + 3028^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18605963) 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 7 ways as a sum of consecutive naturals, for example, 31080 + ... + 31672.

Almost surely, 2^18605968 is an apocalyptic number.

It is an amenable number.

18605968 is an abundant number, since it is smaller than the sum of its proper divisors (19179560).

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

18605968 is a wasteful number, since it uses less digits than its factorization.

18605968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 18605968 is about 4313.4635735103. The cubic root of 18605968 is about 264.9826403723.

The spelling of 18605968 in words is "eighteen million, six hundred five thousand, nine hundred sixty-eight".