536920 has 32 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 207360.

The previous prime is 536917. The next prime is 536923. The reversal of 536920 is 29635.

It is an interprime number because it is at equal distance from previous prime (536917) and next prime (536923).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536923) 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 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁵³⁶⁹²⁰ 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 536920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

536920 is an abundant number, since it is smaller than the sum of its proper divisors (713000).

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

536920 is a wasteful number, since it uses less digits than its factorization.

536920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 536920 is about 732.7482514479. The cubic root of 536920 is about 81.2774108698.

The spelling of 536920 in words is "five hundred thirty-six thousand, nine hundred twenty".