537856 has 36 divisors (see below), whose sum is σ = 1177344. Its totient is φ = 243200.

The previous prime is 537853. The next prime is 537877. The reversal of 537856 is 658735.

It is a happy number.

537856 is nontrivially palindromic in base 5 and base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2721 + ... + 2911.

It is an arithmetic number, because the mean of its divisors is an integer number (32704).

537856 is a Friedman number, since it can be written as 37+(8+6)^5-5, using all its digits and the basic arithmetic operations.

2⁵³⁷⁸⁵⁶ 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 537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672).

537856 is an abundant number, since it is smaller than the sum of its proper divisors (639488).

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

537856 is a wasteful number, since it uses less digits than its factorization.

537856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 537856 is about 733.3866647274. The cubic root of 537856 is about 81.3246131175.

Subtracting from 537856 its product of digits (25200), we obtain a square (512656 = 716²).

The spelling of 537856 in words is "five hundred thirty-seven thousand, eight hundred fifty-six".