42688 has 28 divisors (see below), whose sum is σ = 91440. Its totient is φ = 19712.

The previous prime is 42683. The next prime is 42689. The reversal of 42688 is 88624.

It is a super-3 number, since 3×42688³ = 233366589014016, which contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (3072) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (42683) by changing a digit.

42688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1458 + ... + 1486.

2⁴²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720).

42688 is an abundant number, since it is smaller than the sum of its proper divisors (48752).

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

42688 is a wasteful number, since it uses less digits than its factorization.

42688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 42688 is about 206.6107451223. The cubic root of 42688 is about 34.9490414888.

The spelling of 42688 in words is "forty-two thousand, six hundred eighty-eight".