516741120 has 480 divisors, whose sum is σ = 2140538400. Its totient is φ = 116785152.

The previous prime is 516741103. The next prime is 516741143. The reversal of 516741120 is 21147615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5806036 + ... + 5806124.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2^516741120 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 516741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070269200).

516741120 is an abundant number, since it is smaller than the sum of its proper divisors (1623797280).

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

516741120 is an equidigital number, since it uses as much as digits as its factorization.

516741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 516741120 is about 22731.9405242931. The cubic root of 516741120 is about 802.4617502950.

Adding to 516741120 its reverse (21147615), we get a palindrome (537888735).

The spelling of 516741120 in words is "five hundred sixteen million, seven hundred forty-one thousand, one hundred twenty".