4164000 has 96 divisors (see below), whose sum is σ = 13680576. Its totient is φ = 1107200.

The previous prime is 4163987. The next prime is 4164007. The reversal of 4164000 is 4614.

4164000 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4164007) 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, 11827 + ... + 12173.

It is an arithmetic number, because the mean of its divisors is an integer number (142506).

Almost surely, 2^4164000 is an apocalyptic number.

4164000 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 4164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840288).

4164000 is an abundant number, since it is smaller than the sum of its proper divisors (9516576).

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

4164000 is a wasteful number, since it uses less digits than its factorization.

4164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4164000 is about 2040.5881505096. The cubic root of 4164000 is about 160.8805615968.

Adding to 4164000 its reverse (4614), we get a palindrome (4168614).

The spelling of 4164000 in words is "four million, one hundred sixty-four thousand".