4023600 has 120 divisors (see below), whose sum is σ = 14760960. Its totient is φ = 917760.

The previous prime is 4023599. The next prime is 4023619. The reversal of 4023600 is 63204.

4023600 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 (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4023600.

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 23 ways as a sum of consecutive naturals, for example, 8161 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (123008).

Almost surely, 2^4023600 is an apocalyptic number.

4023600 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 4023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480).

4023600 is an abundant number, since it is smaller than the sum of its proper divisors (10737360).

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

4023600 is a wasteful number, since it uses less digits than its factorization.

4023600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4023600 is about 2005.8913230781. The cubic root of 4023600 is about 159.0516821035.

Adding to 4023600 its reverse (63204), we get a palindrome (4086804).

The spelling of 4023600 in words is "four million, twenty-three thousand, six hundred".