42581634 has 32 divisors (see below), whose sum is σ = 90616320. Its totient is φ = 13293312.

The previous prime is 42581633. The next prime is 42581639. The reversal of 42581634 is 43618524.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42581595 and 42581604.

It is not an unprimeable number, because it can be changed into a prime (42581633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22447 + ... + 24269.

It is an arithmetic number, because the mean of its divisors is an integer number (2831760).

Almost surely, 2^42581634 is an apocalyptic number.

42581634 is an abundant number, since it is smaller than the sum of its proper divisors (48034686).

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

42581634 is a wasteful number, since it uses less digits than its factorization.

42581634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074.

The product of its digits is 23040, while the sum is 33.

The square root of 42581634 is about 6525.4604435243. The cubic root of 42581634 is about 349.1998975239.

The spelling of 42581634 in words is "forty-two million, five hundred eighty-one thousand, six hundred thirty-four".