42688608 has 48 divisors (see below), whose sum is σ = 113654016. Its totient is φ = 14026880.

The previous prime is 42688603. The next prime is 42688627. The reversal of 42688608 is 80688624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×42688608³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42688608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688601) 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, 3685 + ... + 9947.

It is an arithmetic number, because the mean of its divisors is an integer number (2367792).

Almost surely, 2^42688608 is an apocalyptic number.

42688608 is a gapful number since it is divisible by the number (48) 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 42688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56827008).

42688608 is an abundant number, since it is smaller than the sum of its proper divisors (70965408).

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

42688608 is a wasteful number, since it uses less digits than its factorization.

42688608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 42688608 is about 6533.6519650193. The cubic root of 42688608 is about 349.4920741304.

The spelling of 42688608 in words is "forty-two million, six hundred eighty-eight thousand, six hundred eight".