507168 has 48 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 168768.

The previous prime is 507163. The next prime is 507193. The reversal of 507168 is 861705.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (507163) 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, 571 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁵⁰⁷¹⁶⁸ 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 507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880).

507168 is an abundant number, since it is smaller than the sum of its proper divisors (974592).

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

507168 is a wasteful number, since it uses less digits than its factorization.

507168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 507168 is about 712.1572859980. The cubic root of 507168 is about 79.7475374547.

The spelling of 507168 in words is "five hundred seven thousand, one hundred sixty-eight".