4113600 has 84 divisors (see below), whose sum is σ = 13511784. Its totient is φ = 1095680.

The previous prime is 4113589. The next prime is 4113601. The reversal of 4113600 is 63114.

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 4113600.

It is not an unprimeable number, because it can be changed into a prime (4113601) 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, 4372 + ... + 5228.

Almost surely, 2^4113600 is an apocalyptic number.

4113600 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 4113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755892).

4113600 is an abundant number, since it is smaller than the sum of its proper divisors (9398184).

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

4113600 is a wasteful number, since it uses less digits than its factorization.

4113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4113600 is about 2028.2011734540. The cubic root of 4113600 is about 160.2288392145.

Adding to 4113600 its reverse (63114), we get a palindrome (4176714).

The spelling of 4113600 in words is "four million, one hundred thirteen thousand, six hundred".