516888 has 32 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 172224.

The previous prime is 516883. The next prime is 516907. The reversal of 516888 is 888615.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 516888.

It is not an unprimeable number, because it can be changed into a prime (516883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 1412.

2⁵¹⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

516888 is an abundant number, since it is smaller than the sum of its proper divisors (919512).

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

516888 is a wasteful number, since it uses less digits than its factorization.

516888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 516888 is about 718.9492332564. The cubic root of 516888 is about 80.2537774447.

The spelling of 516888 in words is "five hundred sixteen thousand, eight hundred eighty-eight".