42706512 has 60 divisors (see below), whose sum is σ = 120343860. Its totient is φ = 14137344.

The previous prime is 42706511. The next prime is 42706541. The reversal of 42706512 is 21560724.

42706512 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 651 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 26255376 = 4056^2 + 5124^2 .

It is a super-2 number, since 2×42706512² = 3647692334412288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42706511) 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 11 ways as a sum of consecutive naturals, for example, 21664 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (2005731).

Almost surely, 2^42706512 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 42706512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60171930).

42706512 is an abundant number, since it is smaller than the sum of its proper divisors (77637348).

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

42706512 is a wasteful number, since it uses less digits than its factorization.

42706512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42706512 is about 6535.0219586471. The cubic root of 42706512 is about 349.5409273788.

The spelling of 42706512 in words is "forty-two million, seven hundred six thousand, five hundred twelve".