42629536 has 48 divisors (see below), whose sum is σ = 88179840. Its totient is φ = 20258560.

The previous prime is 42629519. The next prime is 42629539. The reversal of 42629536 is 63592624.

It is a junction number, because it is equal to n+sod(n) for n = 42629495 and 42629504.

It is not an unprimeable number, because it can be changed into a prime (42629539) 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 7 ways as a sum of consecutive naturals, for example, 65565 + ... + 66211.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^42629536 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 42629536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089920).

42629536 is an abundant number, since it is smaller than the sum of its proper divisors (45550304).

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

42629536 is a wasteful number, since it uses less digits than its factorization.

42629536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 42629536 is about 6529.1298041929. The cubic root of 42629536 is about 349.3307920229.

The spelling of 42629536 in words is "forty-two million, six hundred twenty-nine thousand, five hundred thirty-six".