42630880 has 48 divisors (see below), whose sum is σ = 102876480. Its totient is φ = 16686592.

The previous prime is 42630871. The next prime is 42630893. The reversal of 42630880 is 8803624.

It is a happy number.

42630880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4686 + ... + 10354.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^42630880 is an apocalyptic number.

42630880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438240).

42630880 is an abundant number, since it is smaller than the sum of its proper divisors (60245600).

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

42630880 is a wasteful number, since it uses less digits than its factorization.

42630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42630880 is about 6529.2327267452. The cubic root of 42630880 is about 349.3344631525.

It can be divided in two parts, 4 and 2630880, that added together give a square (2630884 = 1622²).

The spelling of 42630880 in words is "forty-two million, six hundred thirty thousand, eight hundred eighty".