4121600 has 132 divisors (see below), whose sum is σ = 12183744. Its totient is φ = 1351680.

The previous prime is 4121591. The next prime is 4121603. The reversal of 4121600 is 61214.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121603) 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, 179189 + ... + 179211.

Almost surely, 2^4121600 is an apocalyptic number.

4121600 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 4121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091872).

4121600 is an abundant number, since it is smaller than the sum of its proper divisors (8062144).

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

4121600 is a wasteful number, since it uses less digits than its factorization.

4121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4121600 is about 2030.1724064719. The cubic root of 4121600 is about 160.3326412902.

Adding to 4121600 its reverse (61214), we get a palindrome (4182814).

The spelling of 4121600 in words is "four million, one hundred twenty-one thousand, six hundred".