537168 has 60 divisors (see below), whose sum is σ = 1511808. Its totient is φ = 164160.

The previous prime is 537157. The next prime is 537169. The reversal of 537168 is 861735.

Its product of digits (5040) is a multiple of the sum of its prime factors (80).

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 (537169) by changing a digit.

537168 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 11 ways as a sum of consecutive naturals, for example, 17313 + ... + 17343.

2⁵³⁷¹⁶⁸ 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 537168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904).

537168 is an abundant number, since it is smaller than the sum of its proper divisors (974640).

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

537168 is a wasteful number, since it uses less digits than its factorization.

537168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 537168 is about 732.9174578355. The cubic root of 537168 is about 81.2899227867.

It can be divided in two parts, 5 and 37168, that added together give a palindrome (37173).

The spelling of 537168 in words is "five hundred thirty-seven thousand, one hundred sixty-eight".