537940 has 24 divisors (see below), whose sum is σ = 1217160. Its totient is φ = 198528.

The previous prime is 537919. The next prime is 537941. The reversal of 537940 is 49735.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 535824 = 46^2 + 732^2 .

It is a super-3 number, since 3×537940³ = 467006333670552000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 537899 and 537908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537941) 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, 775 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (50715).

2⁵³⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

537940 is an abundant number, since it is smaller than the sum of its proper divisors (679220).

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

537940 is a wasteful number, since it uses less digits than its factorization.

537940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 537940 is about 733.4439310540. The cubic root of 537940 is about 81.3288465380.

The spelling of 537940 in words is "five hundred thirty-seven thousand, nine hundred forty".