507640 has 64 divisors (see below), whose sum is σ = 1368000. Its totient is φ = 169344.

The previous prime is 507631. The next prime is 507641. The reversal of 507640 is 46705.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13702 + ... + 13738.

It is an arithmetic number, because the mean of its divisors is an integer number (21375).

2⁵⁰⁷⁶⁴⁰ 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 507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684000).

507640 is an abundant number, since it is smaller than the sum of its proper divisors (860360).

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

507640 is a wasteful number, since it uses less digits than its factorization.

507640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 507640 is about 712.4885964000. The cubic root of 507640 is about 79.7722690143.

The spelling of 507640 in words is "five hundred seven thousand, six hundred forty".