5033600 has 144 divisors (see below), whose sum is σ = 14719110. Its totient is φ = 1689600.

The previous prime is 5033599. The next prime is 5033629. The reversal of 5033600 is 63305.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2795584 + 2238016 = 1672^2 + 1496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387194 + ... + 387206.

Almost surely, 2^5033600 is an apocalyptic number.

5033600 is a gapful number since it is divisible by the number (50) 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 5033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359555).

5033600 is an abundant number, since it is smaller than the sum of its proper divisors (9685510).

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

5033600 is a wasteful number, since it uses less digits than its factorization.

5033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 5033600 is about 2243.5685859808. The cubic root of 5033600 is about 171.3797744711.

Adding to 5033600 its reverse (63305), we get a palindrome (5096905).

The spelling of 5033600 in words is "five million, thirty-three thousand, six hundred".