536992 has 24 divisors (see below), whose sum is σ = 1074276. Its totient is φ = 264192.

The previous prime is 536989. The next prime is 536999. The reversal of 536992 is 299635.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 24336 = 716^2 + 156^2 .

It is a d-powerful number, because it can be written as 5⁵ + 3¹² + 9² + 6³ + 9² + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (536999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3018 + ... + 3190.

2⁵³⁶⁹⁹² is an apocalyptic number.

It is an amenable number.

536992 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

536992 is a wasteful number, since it uses less digits than its factorization.

536992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 14580, while the sum is 34.

The square root of 536992 is about 732.7973799080. The cubic root of 536992 is about 81.2810437587.

The spelling of 536992 in words is "five hundred thirty-six thousand, nine hundred ninety-two".