516416124 has 96 divisors (see below), whose sum is σ = 1454745600. Its totient is φ = 139285440.

The previous prime is 516416113. The next prime is 516416129. The reversal of 516416124 is 421614615.

It is a super-2 number, since 2×516416124² = 533371226254366752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516416091 and 516416100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516416129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783307 + ... + 783965.

It is an arithmetic number, because the mean of its divisors is an integer number (15153600).

Almost surely, 2^516416124 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 516416124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727372800).

516416124 is an abundant number, since it is smaller than the sum of its proper divisors (938329476).

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

516416124 is a wasteful number, since it uses less digits than its factorization.

516416124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 516416124 is about 22724.7909561342. The cubic root of 516416124 is about 802.2934832185.

The spelling of 516416124 in words is "five hundred sixteen million, four hundred sixteen thousand, one hundred twenty-four".