536980 has 12 divisors (see below), whose sum is σ = 1127700. Its totient is φ = 214784.

The previous prime is 536971. The next prime is 536989. The reversal of 536980 is 89635.

It is an interprime number because it is at equal distance from previous prime (536971) and next prime (536989).

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 367236 = 412^2 + 606^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536980.

It is not an unprimeable number, because it can be changed into a prime (536989) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13405 + ... + 13444.

It is an arithmetic number, because the mean of its divisors is an integer number (93975).

2⁵³⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

536980 is an abundant number, since it is smaller than the sum of its proper divisors (590720).

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

536980 is a wasteful number, since it uses less digits than its factorization.

536980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26858 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 536980 is about 732.7891920600. The cubic root of 536980 is about 81.2804382998.

It can be divided in two parts, 5 and 36980, that multiplied together give a square (184900 = 430²).

The spelling of 536980 in words is "five hundred thirty-six thousand, nine hundred eighty".