5018624 has 66 divisors (see below), whose sum is σ = 11238030. Its totient is φ = 2236416.

The previous prime is 5018617. The next prime is 5018627. The reversal of 5018624 is 4268105.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 5017600 = 32^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 5018593 and 5018602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173042 + ... + 173070.

Almost surely, 2^5018624 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 5018624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619015).

5018624 is an abundant number, since it is smaller than the sum of its proper divisors (6219406).

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

5018624 is a wasteful number, since it uses less digits than its factorization.

5018624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5018624 is about 2240.2285597680. The cubic root of 5018624 is about 171.2096422205.

The spelling of 5018624 in words is "five million, eighteen thousand, six hundred twenty-four".