42965568 has 84 divisors (see below), whose sum is σ = 124584460. Its totient is φ = 14155776.

The previous prime is 42965539. The next prime is 42965591. The reversal of 42965568 is 86556924.

42965568 is a `hidden beast` number, since 4 + 2 + 96 + 556 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 24920064 = 4248^2 + 4992^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55488 + ... + 56256.

Almost surely, 2^42965568 is an apocalyptic number.

42965568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62292230).

42965568 is an abundant number, since it is smaller than the sum of its proper divisors (81618892).

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

42965568 is a wasteful number, since it uses less digits than its factorization.

42965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 42965568 is about 6554.8125831331. The cubic root of 42965568 is about 350.2462702139.

The spelling of 42965568 in words is "forty-two million, nine hundred sixty-five thousand, five hundred sixty-eight".