516096 has 84 divisors (see below), whose sum is σ = 1703832. Its totient is φ = 147456.

The previous prime is 516091. The next prime is 516127. The reversal of 516096 is 690615.

516096 is a `hidden beast` number, since 51 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

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 516096.

It is not an unprimeable number, because it can be changed into a prime (516091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73725 + ... + 73731.

2⁵¹⁶⁰⁹⁶ is an apocalyptic number.

516096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851916).

516096 is an abundant number, since it is smaller than the sum of its proper divisors (1187736).

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

516096 is an equidigital number, since it uses as much as digits as its factorization.

516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 516096 is about 718.3982182606. The cubic root of 516096 is about 80.2127669594.

It can be divided in two parts, 51609 and 6, that added together give a palindrome (51615).

The spelling of 516096 in words is "five hundred sixteen thousand, ninety-six".