536349760 has 56 divisors (see below), whose sum is σ = 1288983960. Its totient is φ = 212557824.

The previous prime is 536349733. The next prime is 536349767. The reversal of 536349760 is 67943635.

It can be written as a sum of positive squares in 4 ways, for example, as 280093696 + 256256064 = 16736^2 + 16008^2 .

It is not an unprimeable number, because it can be changed into a prime (536349767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27192 + ... + 42568.

Almost surely, 2^536349760 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 536349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644491980).

536349760 is an abundant number, since it is smaller than the sum of its proper divisors (752634200).

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

536349760 is a wasteful number, since it uses less digits than its factorization.

536349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The square root of 536349760 is about 23159.2262392335. The cubic root of 536349760 is about 812.4862691171.

The spelling of 536349760 in words is "five hundred thirty-six million, three hundred forty-nine thousand, seven hundred sixty".