516721920 has 288 divisors, whose sum is σ = 1940851584. Its totient is φ = 115507200.

The previous prime is 516721897. The next prime is 516721943. The reversal of 516721920 is 29127615.

It is an interprime number because it is at equal distance from previous prime (516721897) and next prime (516721943).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548650 + ... + 549590.

It is an arithmetic number, because the mean of its divisors is an integer number (6739068).

Almost surely, 2^516721920 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 516721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970425792).

516721920 is an abundant number, since it is smaller than the sum of its proper divisors (1424129664).

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

516721920 is a wasteful number, since it uses less digits than its factorization.

516721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 516721920 is about 22731.5182071062. The cubic root of 516721920 is about 802.4518114328.

The spelling of 516721920 in words is "five hundred sixteen million, seven hundred twenty-one thousand, nine hundred twenty".