507616 has 24 divisors (see below), whose sum is σ = 1035720. Its totient is φ = 244608.

The previous prime is 507607. The next prime is 507631. The reversal of 507616 is 616705.

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

It is a congruent number.

It is an unprimeable number.

507616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (43155).

2⁵⁰⁷⁶¹⁶ 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 507616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517860).

507616 is an abundant number, since it is smaller than the sum of its proper divisors (528104).

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

507616 is a wasteful number, since it uses less digits than its factorization.

507616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 507616 is about 712.4717538261. The cubic root of 507616 is about 79.7710118474.

The spelling of 507616 in words is "five hundred seven thousand, six hundred sixteen".