4101600 has 72 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 1093120.

The previous prime is 4101593. The next prime is 4101623. The reversal of 4101600 is 61014.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546 + ... + 3254.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 2^4101600 is an apocalyptic number.

4101600 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 4101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260).

4101600 is an abundant number, since it is smaller than the sum of its proper divisors (9256920).

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

4101600 is a wasteful number, since it uses less digits than its factorization.

4101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4101600 is about 2025.2407264323. The cubic root of 4101600 is about 160.0728834616.

Adding to 4101600 its reverse (61014), we get a palindrome (4162614).

The spelling of 4101600 in words is "four million, one hundred one thousand, six hundred".