537264 has 120 divisors (see below), whose sum is σ = 1895712. Its totient is φ = 138240.

The previous prime is 537241. The next prime is 537269. The reversal of 537264 is 462735.

537264 = T₇₁ + T₇₂ + ... + T₁₅₂.

It is a happy number.

It is a nialpdrome in base 14.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (537269) by changing a digit.

537264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13084 + ... + 13124.

2⁵³⁷²⁶⁴ 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 537264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856).

537264 is an abundant number, since it is smaller than the sum of its proper divisors (1358448).

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

537264 is a wasteful number, since it uses less digits than its factorization.

537264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 537264 is about 732.9829465956. The cubic root of 537264 is about 81.2947650755.

Adding to 537264 its reverse (462735), we get a palindrome (999999).

Subtracting from 537264 its reverse (462735), we obtain a square (74529 = 273²).

The spelling of 537264 in words is "five hundred thirty-seven thousand, two hundred sixty-four".