4165640 has 32 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1655232.

The previous prime is 4165633. The next prime is 4165643. The reversal of 4165640 is 465614.

It is a happy number.

It is a super-4 number, since 4×4165640⁴ (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8687 + ... + 9153.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^4165640 is an apocalyptic number.

4165640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4165640 is an abundant number, since it is smaller than the sum of its proper divisors (5269240).

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

4165640 is a wasteful number, since it uses less digits than its factorization.

4165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4165640 is about 2040.9899558793. The cubic root of 4165640 is about 160.9016798717.

Subtracting from 4165640 its sum of digits (26), we obtain a palindrome (4165614).

The spelling of 4165640 in words is "four million, one hundred sixty-five thousand, six hundred forty".