4601600 has 54 divisors (see below), whose sum is σ = 11405520. Its totient is φ = 1838080.

The previous prime is 4601599. The next prime is 4601617. The reversal of 4601600 is 61064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6041 + ... + 6759.

Almost surely, 2^4601600 is an apocalyptic number.

4601600 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 4601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702760).

4601600 is an abundant number, since it is smaller than the sum of its proper divisors (6803920).

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

4601600 is an equidigital number, since it uses as much as digits as its factorization.

4601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4601600 is about 2145.1340284467. The cubic root of 4601600 is about 166.3296300083.

Adding to 4601600 its reverse (61064), we get a palindrome (4662664).

The spelling of 4601600 in words is "four million, six hundred one thousand, six hundred".