4163640 has 128 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 958464.

The previous prime is 4163629. The next prime is 4163651. The reversal of 4163640 is 463614.

4163640 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 (4163629) and next prime (4163651).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4163640.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26442 + ... + 26598.

Almost surely, 2^4163640 is an apocalyptic number.

4163640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 2040×2041.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166880).

4163640 is an abundant number, since it is smaller than the sum of its proper divisors (10170120).

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

4163640 is a wasteful number, since it uses less digits than its factorization.

4163640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4163640 is about 2040.4999387405. The cubic root of 4163640 is about 160.8759251358.

The spelling of 4163640 in words is "four million, one hundred sixty-three thousand, six hundred forty".