4131600 has 120 divisors (see below), whose sum is σ = 14484192. Its totient is φ = 998400.

The previous prime is 4131599. The next prime is 4131613. The reversal of 4131600 is 61314.

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 4131600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13044 + ... + 13356.

Almost surely, 2^4131600 is an apocalyptic number.

4131600 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 4131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242096).

4131600 is an abundant number, since it is smaller than the sum of its proper divisors (10352592).

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

4131600 is a wasteful number, since it uses less digits than its factorization.

4131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

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

The square root of 4131600 is about 2032.6337594363. The cubic root of 4131600 is about 160.4622051708.

Adding to 4131600 its reverse (61314), we get a palindrome (4192914).

The spelling of 4131600 in words is "four million, one hundred thirty-one thousand, six hundred".