4167940 has 36 divisors (see below), whose sum is σ = 10184076. Its totient is φ = 1428672.

The previous prime is 4167931. The next prime is 4167949. The reversal of 4167940 is 497614.

4167940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4167931) and next prime (4167949).

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 3261636 = 952^2 + 1806^2 .

It is not an unprimeable number, because it can be changed into a prime (4167949) 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 11 ways as a sum of consecutive naturals, for example, 1147 + ... + 3106.

It is an arithmetic number, because the mean of its divisors is an integer number (282891).

Almost surely, 2^4167940 is an apocalyptic number.

It is an amenable number.

4167940 is an abundant number, since it is smaller than the sum of its proper divisors (6016136).

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

4167940 is a wasteful number, since it uses less digits than its factorization.

4167940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4167940 is about 2041.5533301876. The cubic root of 4167940 is about 160.9312876290.

The spelling of 4167940 in words is "four million, one hundred sixty-seven thousand, nine hundred forty".