42688164 has 24 divisors (see below), whose sum is σ = 101923360. Its totient is φ = 13898304.

The previous prime is 42688159. The next prime is 42688189. The reversal of 42688164 is 46188624.

42688164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42688164³ (a number of 24 digits) contains 333 as substring.

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, 40849 + ... + 41880.

Almost surely, 2^42688164 is an apocalyptic number.

It is an amenable number.

42688164 is an abundant number, since it is smaller than the sum of its proper divisors (59235196).

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

42688164 is a wasteful number, since it uses less digits than its factorization.

42688164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82779 (or 82777 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 42688164 is about 6533.6179869962. The cubic root of 42688164 is about 349.4908624487.

The spelling of 42688164 in words is "forty-two million, six hundred eighty-eight thousand, one hundred sixty-four".