515648 has 28 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 220800.

The previous prime is 515639. The next prime is 515651. The reversal of 515648 is 846515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×515648³ = 411321364271333376, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 515648.

It is an unprimeable number.

515648 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, 128 + ... + 1023.

2⁵¹⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

515648 is an abundant number, since it is smaller than the sum of its proper divisors (654784).

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

515648 is a wasteful number, since it uses less digits than its factorization.

515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 515648 is about 718.0863457830. The cubic root of 515648 is about 80.1895505278.

The spelling of 515648 in words is "five hundred fifteen thousand, six hundred forty-eight".