4055766 has 64 divisors (see below), whose sum is σ = 9918720. Its totient is φ = 1088640.

The previous prime is 4055747. The next prime is 4055767. The reversal of 4055766 is 6675504.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24801 + ... + 24963.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^4055766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4055766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360).

4055766 is an abundant number, since it is smaller than the sum of its proper divisors (5862954).

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

4055766 is a wasteful number, since it uses less digits than its factorization.

4055766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 4055766 is about 2013.8932444397. The cubic root of 4055766 is about 159.4743950538.

It can be divided in two parts, 40557 and 66, that multiplied together give a palindrome (2676762).

The spelling of 4055766 in words is "four million, fifty-five thousand, seven hundred sixty-six".