506736 has 100 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 152064.

The previous prime is 506731. The next prime is 506743. The reversal of 506736 is 637605.

506736 = 110² + 111² + ... + 141².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506731) by changing a digit.

506736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22021 + ... + 22043.

2⁵⁰⁶⁷³⁶ 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 506736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

506736 is an abundant number, since it is smaller than the sum of its proper divisors (1113696).

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

506736 is a wasteful number, since it uses less digits than its factorization.

506736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506736 is about 711.8539175983. The cubic root of 506736 is about 79.7248883375.

It can be divided in two parts, 50 and 6736, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 506736 in words is "five hundred six thousand, seven hundred thirty-six".