516075840 has 672 divisors, whose sum is σ = 2251618560. Its totient is φ = 110702592.

The previous prime is 516075821. The next prime is 516075841. The reversal of 516075840 is 48570615.

516075840 is a `hidden beast` number, since 5 + 1 + 607 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 516075795 and 516075804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516075841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9737254 + ... + 9737306.

Almost surely, 2^516075840 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 516075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125809280).

516075840 is an abundant number, since it is smaller than the sum of its proper divisors (1735542720).

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

516075840 is a wasteful number, since it uses less digits than its factorization.

516075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 516075840 is about 22717.3026567856. The cubic root of 516075840 is about 802.1172250876.

The spelling of 516075840 in words is "five hundred sixteen million, seventy-five thousand, eight hundred forty".