42507684 has 36 divisors (see below), whose sum is σ = 113772204. Its totient is φ = 13335552.

The previous prime is 42507683. The next prime is 42507691. The reversal of 42507684 is 48670524.

It can be written as a sum of positive squares in 2 ways, for example, as 18301284 + 24206400 = 4278^2 + 4920^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42507683) 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, 34117 + ... + 35340.

It is an arithmetic number, because the mean of its divisors is an integer number (3160339).

Almost surely, 2^42507684 is an apocalyptic number.

It is an amenable number.

42507684 is an abundant number, since it is smaller than the sum of its proper divisors (71264520).

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

42507684 is a wasteful number, since it uses less digits than its factorization.

42507684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69484 (or 69479 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42507684 is about 6519.7917144645. The cubic root of 42507684 is about 348.9976327346.

The spelling of 42507684 in words is "forty-two million, five hundred seven thousand, six hundred eighty-four".