42768579 has 32 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 23772672.

The previous prime is 42768521. The next prime is 42768599. The reversal of 42768579 is 97586724.

It is not a de Polignac number, because 42768579 - 2¹² = 42764483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42768599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158857 + ... + 159125.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2^42768579 is an apocalyptic number.

42768579 is a deficient number, since it is larger than the sum of its proper divisors (24208701).

42768579 is a wasteful number, since it uses less digits than its factorization.

42768579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 846720, while the sum is 48.

The square root of 42768579 is about 6539.7690326188. The cubic root of 42768579 is about 349.7101791249.

It can be divided in two parts, 427 and 68579, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 42768579 in words is "forty-two million, seven hundred sixty-eight thousand, five hundred seventy-nine".