537648 has 40 divisors (see below), whose sum is σ = 1452288. Its totient is φ = 171072.

The previous prime is 537637. The next prime is 537661. The reversal of 537648 is 846735.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861 + ... + 1347.

2⁵³⁷⁶⁴⁸ 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 537648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726144).

537648 is an abundant number, since it is smaller than the sum of its proper divisors (914640).

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

537648 is a wasteful number, since it uses less digits than its factorization.

537648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 537648 is about 733.2448431459. The cubic root of 537648 is about 81.3141284645.

The spelling of 537648 in words is "five hundred thirty-seven thousand, six hundred forty-eight".