4042688 has 56 divisors (see below), whose sum is σ = 8918448. Its totient is φ = 1806336.

The previous prime is 4042673. The next prime is 4042693. The reversal of 4042688 is 8862404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 35720 + ... + 35832.

It is an arithmetic number, because the mean of its divisors is an integer number (159258).

Almost surely, 2^4042688 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 4042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459224).

4042688 is an abundant number, since it is smaller than the sum of its proper divisors (4875760).

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

4042688 is a wasteful number, since it uses less digits than its factorization.

4042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4042688 is about 2010.6436780295. The cubic root of 4042688 is about 159.3027996944.

The spelling of 4042688 in words is "four million, forty-two thousand, six hundred eighty-eight".