516124080 has 240 divisors, whose sum is σ = 1854122400. Its totient is φ = 128212992.

The previous prime is 516124067. The next prime is 516124121. The reversal of 516124080 is 80421615.

516124080 is a `hidden beast` number, since 5 + 1 + 612 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823619 + ... + 1823901.

It is an arithmetic number, because the mean of its divisors is an integer number (7725510).

Almost surely, 2^516124080 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 516124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927061200).

516124080 is an abundant number, since it is smaller than the sum of its proper divisors (1337998320).

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

516124080 is a wasteful number, since it uses less digits than its factorization.

516124080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 516124080 is about 22718.3643777452. The cubic root of 516124080 is about 802.1422168468.

Adding to 516124080 its reverse (80421615), we get a palindrome (596545695).

It can be divided in two parts, 5161 and 24080, that added together give a square (29241 = 171²).

The spelling of 516124080 in words is "five hundred sixteen million, one hundred twenty-four thousand, eighty".