4165840 has 80 divisors (see below), whose sum is σ = 11392128. Its totient is φ = 1387008.

The previous prime is 4165787. The next prime is 4165849. The reversal of 4165840 is 485614.

4165840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4165799 and 4165808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165849) 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 15 ways as a sum of consecutive naturals, for example, 23994 + ... + 24166.

Almost surely, 2^4165840 is an apocalyptic number.

4165840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696064).

4165840 is an abundant number, since it is smaller than the sum of its proper divisors (7226288).

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

4165840 is a wasteful number, since it uses less digits than its factorization.

4165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4165840 is about 2041.0389511227. The cubic root of 4165840 is about 160.9042548919.

It can be divided in two parts, 4165 and 840, that added together give a palindrome (5005).

The spelling of 4165840 in words is "four million, one hundred sixty-five thousand, eight hundred forty".