516192 has 48 divisors (see below), whose sum is σ = 1431360. Its totient is φ = 162432.

The previous prime is 516179. The next prime is 516193. The reversal of 516192 is 291615.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (516193) 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, 1683 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (29820).

2⁵¹⁶¹⁹² 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 516192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715680).

516192 is an abundant number, since it is smaller than the sum of its proper divisors (915168).

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

516192 is a wasteful number, since it uses less digits than its factorization.

516192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 516192 is about 718.4650304643. The cubic root of 516192 is about 80.2177401609.

It can be divided in two parts, 5161 and 92, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 516192 in words is "five hundred sixteen thousand, one hundred ninety-two".