536616 has 48 divisors (see below), whose sum is σ = 1509300. Its totient is φ = 172032.

The previous prime is 536609. The next prime is 536621. The reversal of 536616 is 616635.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 60516 = 690^2 + 246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 536616.

It is an unprimeable number.

536616 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960 + ... + 2216.

2⁵³⁶⁶¹⁶ 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 536616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754650).

536616 is an abundant number, since it is smaller than the sum of its proper divisors (972684).

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

536616 is a wasteful number, since it uses less digits than its factorization.

536616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 536616 is about 732.5407838476. The cubic root of 536616 is about 81.2620684243.

The spelling of 536616 in words is "five hundred thirty-six thousand, six hundred sixteen".