42768576 has 84 divisors (see below), whose sum is σ = 125647704. Its totient is φ = 13900800.

The previous prime is 42768521. The next prime is 42768599. The reversal of 42768576 is 67586724.

42768576 is a `hidden beast` number, since 4 + 2 + 76 + 8 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22711 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (1495806).

Almost surely, 2^42768576 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 42768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62823852).

42768576 is an abundant number, since it is smaller than the sum of its proper divisors (82879128).

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

42768576 is a wasteful number, since it uses less digits than its factorization.

42768576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1857 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 42768576 is about 6539.7688032529. The cubic root of 42768576 is about 349.7101709481.

The spelling of 42768576 in words is "forty-two million, seven hundred sixty-eight thousand, five hundred seventy-six".