42655624 has 32 divisors (see below), whose sum is σ = 88070400. Its totient is φ = 19206720.

The previous prime is 42655603. The next prime is 42655637.

42655624 is nontrivially palindromic in base 10.

42655624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42655624.

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, 7369 + ... + 11815.

It is an arithmetic number, because the mean of its divisors is an integer number (2752200).

Almost surely, 2^42655624 is an apocalyptic number.

42655624 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 42655624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44035200).

42655624 is an abundant number, since it is smaller than the sum of its proper divisors (45414776).

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

42655624 is a wasteful number, since it uses less digits than its factorization.

42655624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4569 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 42655624 is about 6531.1273146372. The cubic root of 42655624 is about 349.4020374876.

It can be divided in two parts, 4265 and 5624, that added together give a palindrome (9889).

The spelling of 42655624 in words is "forty-two million, six hundred fifty-five thousand, six hundred twenty-four".