42622624 has 48 divisors (see below), whose sum is σ = 96374880. Its totient is φ = 18351360.

The previous prime is 42622607. The next prime is 42622637.

42622624 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42622592 and 42622601.

It is an unprimeable number.

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, 3502 + ... + 9874.

It is an arithmetic number, because the mean of its divisors is an integer number (2007810).

Almost surely, 2^42622624 is an apocalyptic number.

42622624 is a gapful number since it is divisible by the number (44) 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 42622624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48187440).

42622624 is an abundant number, since it is smaller than the sum of its proper divisors (53752256).

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

42622624 is a wasteful number, since it uses less digits than its factorization.

42622624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6405 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 42622624 is about 6528.6004625800. The cubic root of 42622624 is about 349.3119107090.

It can be divided in two parts, 4262 and 2624, that added together give a palindrome (6886).

The spelling of 42622624 in words is "forty-two million, six hundred twenty-two thousand, six hundred twenty-four".