511616 has 32 divisors (see below), whose sum is σ = 1166880. Its totient is φ = 218880.

The previous prime is 511603. The next prime is 511627. The reversal of 511616 is 616115.

It is a happy number.

511616 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

511616 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 3 ways as a sum of consecutive naturals, for example, 611 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (36465).

2⁵¹¹⁶¹⁶ is an apocalyptic number.

511616 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 511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583440).

511616 is an abundant number, since it is smaller than the sum of its proper divisors (655264).

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

511616 is an equidigital number, since it uses as much as digits as its factorization.

511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 511616 is about 715.2733743122. The cubic root of 511616 is about 79.9799949979.

The spelling of 511616 in words is "five hundred eleven thousand, six hundred sixteen".