42688624 has 40 divisors (see below), whose sum is σ = 91779840. Its totient is φ = 19070400.

The previous prime is 42688603. The next prime is 42688627.

42688624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42688624³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 12439.

It is an arithmetic number, because the mean of its divisors is an integer number (2294496).

Almost surely, 2^42688624 is an apocalyptic number.

42688624 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 42688624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45889920).

42688624 is an abundant number, since it is smaller than the sum of its proper divisors (49091216).

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

42688624 is a wasteful number, since it uses less digits than its factorization.

42688624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4183 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 42688624 is about 6533.6531894492. The cubic root of 42688624 is about 349.4921177944.

The spelling of 42688624 in words is "forty-two million, six hundred eighty-eight thousand, six hundred twenty-four".