503616 has 56 divisors (see below), whose sum is σ = 1385824. Its totient is φ = 161280.

The previous prime is 503611. The next prime is 503621. The reversal of 503616 is 616305.

503616 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (503611) and next prime (503621).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 503592 and 503601.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503616.

It is not an unprimeable number, because it can be changed into a prime (503611) 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, 8226 + ... + 8286.

2⁵⁰³⁶¹⁶ 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 503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692912).

503616 is an abundant number, since it is smaller than the sum of its proper divisors (882208).

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

503616 is a wasteful number, since it uses less digits than its factorization.

503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 503616 is about 709.6590730766. The cubic root of 503616 is about 79.5609279385.

The spelling of 503616 in words is "five hundred three thousand, six hundred sixteen".