4165940 has 36 divisors (see below), whose sum is σ = 9249156. Its totient is φ = 1575936.

The previous prime is 4165933. The next prime is 4165943. The reversal of 4165940 is 495614.

It can be written as a sum of positive squares in 2 ways, for example, as 3189796 + 976144 = 1786^2 + 988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6932 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (256921).

Almost surely, 2^4165940 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 4165940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624578).

4165940 is an abundant number, since it is smaller than the sum of its proper divisors (5083216).

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

4165940 is a wasteful number, since it uses less digits than its factorization.

4165940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4165940 is about 2041.0634483034. The cubic root of 4165940 is about 160.9055423710.

The spelling of 4165940 in words is "four million, one hundred sixty-five thousand, nine hundred forty".