506964 has 24 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 166624.

The previous prime is 506963. The next prime is 506983. The reversal of 506964 is 469605.

506964 = T₃₅₂ + T₃₅₃ + ... + T₃₅₉.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 506964.

It is not an unprimeable number, because it can be changed into a prime (506963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁵⁰⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

506964 is an abundant number, since it is smaller than the sum of its proper divisors (692556).

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

506964 is a wasteful number, since it uses less digits than its factorization.

506964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 506964 is about 712.0140448053. The cubic root of 506964 is about 79.7368436416.

It can be divided in two parts, 506 and 964, that multiplied together give a palindrome (487784).

The spelling of 506964 in words is "five hundred six thousand, nine hundred sixty-four".