42581632 has 32 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 21016320.

The previous prime is 42581593. The next prime is 42581633. The reversal of 42581632 is 23618524.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 42581594 and 42581603.

It is not an unprimeable number, because it can be changed into a prime (42581633) 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 3 ways as a sum of consecutive naturals, for example, 8007 + ... + 12217.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^42581632 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 42581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

42581632 is an abundant number, since it is smaller than the sum of its proper divisors (43343168).

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

42581632 is an equidigital number, since it uses as much as digits as its factorization.

42581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4292 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 42581632 is about 6525.4602902784. The cubic root of 42581632 is about 349.1998920567.

The spelling of 42581632 in words is "forty-two million, five hundred eighty-one thousand, six hundred thirty-two".