537683344 has 135 divisors (see below), whose sum is σ = 1256900673. Its totient is φ = 222604800.

The previous prime is 537683339. The next prime is 537683347. The reversal of 537683344 is 443386735.

The square root of 537683344 is 23188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 119071744 = 20460^2 + 10912^2 .

Its product of digits (725760) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 537683344.

It is not an unprimeable number, because it can be changed into a prime (537683347) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17344609 + ... + 17344639.

Almost surely, 2^537683344 is an apocalyptic number.

537683344 is the 23188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537683344

537683344 is an abundant number, since it is smaller than the sum of its proper divisors (719217329).

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

537683344 is a wasteful number, since it uses less digits than its factorization.

537683344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The cubic root of 537683344 is about 813.1591023967.

The spelling of 537683344 in words is "five hundred thirty-seven million, six hundred eighty-three thousand, three hundred forty-four".