4535600 has 120 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 1576960.

The previous prime is 4535593. The next prime is 4535603. The reversal of 4535600 is 65354.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (4535603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156386 + ... + 156414.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

Almost surely, 2^4535600 is an apocalyptic number.

4535600 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 4535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280).

4535600 is an abundant number, since it is smaller than the sum of its proper divisors (7918960).

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

4535600 is a wasteful number, since it uses less digits than its factorization.

4535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 4535600 is about 2129.6948138172. The cubic root of 4535600 is about 165.5305846124.

The spelling of 4535600 in words is "four million, five hundred thirty-five thousand, six hundred".