5019600 has 120 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1295360.

The previous prime is 5019593. The next prime is 5019601. The reversal of 5019600 is 69105.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56356 + ... + 56444.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 2^5019600 is an apocalyptic number.

5019600 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 5019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5019600 is an abundant number, since it is smaller than the sum of its proper divisors (11586480).

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

5019600 is a wasteful number, since it uses less digits than its factorization.

5019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5019600 is about 2240.4463840940. The cubic root of 5019600 is about 171.2207402014.

It can be divided in two parts, 501 and 9600, that added together give a palindrome (10101).

The spelling of 5019600 in words is "five million, nineteen thousand, six hundred".