4055688 has 96 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1067904.

The previous prime is 4055687. The next prime is 4055747. The reversal of 4055688 is 8865504.

It is a happy number.

4055688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4055687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6243 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^4055688 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 4055688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

4055688 is an abundant number, since it is smaller than the sum of its proper divisors (9485112).

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

4055688 is a wasteful number, since it uses less digits than its factorization.

4055688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4055688 is about 2013.8738788713. The cubic root of 4055688 is about 159.4733727165.

The spelling of 4055688 in words is "four million, fifty-five thousand, six hundred eighty-eight".