516771840 has 208 divisors, whose sum is σ = 1783410048. Its totient is φ = 127008768.

The previous prime is 516771821. The next prime is 516771847. The reversal of 516771840 is 48177615.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516771847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798397 + ... + 799043.

Almost surely, 2^516771840 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 516771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891705024).

516771840 is an abundant number, since it is smaller than the sum of its proper divisors (1266638208).

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

516771840 is a wasteful number, since it uses less digits than its factorization.

516771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 516771840 is about 22732.6162154733. The cubic root of 516771840 is about 802.4776519626.

The spelling of 516771840 in words is "five hundred sixteen million, seven hundred seventy-one thousand, eight hundred forty".