509696 has 36 divisors (see below), whose sum is σ = 1116024. Its totient is φ = 230400.

The previous prime is 509693. The next prime is 509699. The reversal of 509696 is 696905.

509696 = T₁₅₉ + T₁₆₀ + ... + T₁₉₁.

It is an interprime number because it is at equal distance from previous prime (509693) and next prime (509699).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2726 + ... + 2906.

2⁵⁰⁹⁶⁹⁶ 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 509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558012).

509696 is an abundant number, since it is smaller than the sum of its proper divisors (606328).

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

509696 is a wasteful number, since it uses less digits than its factorization.

509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 509696 is about 713.9299685543. The cubic root of 509696 is about 79.8798195486.

The spelling of 509696 in words is "five hundred nine thousand, six hundred ninety-six".