5130624 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1651200.

The previous prime is 5130623. The next prime is 5130641. The reversal of 5130624 is 4260315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5130624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11689 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 2^5130624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5130624 is an abundant number, since it is smaller than the sum of its proper divisors (8969856).

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

5130624 is a wasteful number, since it uses less digits than its factorization.

5130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5130624 is about 2265.0880777577. The cubic root of 5130624 is about 172.4739048953.

Adding to 5130624 its reverse (4260315), we get a palindrome (9390939).

The spelling of 5130624 in words is "five million, one hundred thirty thousand, six hundred twenty-four".