516841920 has 336 divisors, whose sum is σ = 2099755008. Its totient is φ = 114186240.

The previous prime is 516841909. The next prime is 516841931. The reversal of 516841920 is 29148615.

It is an interprime number because it is at equal distance from previous prime (516841909) and next prime (516841931).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 624547 + ... + 625373.

Almost surely, 2^516841920 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 516841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049877504).

516841920 is an abundant number, since it is smaller than the sum of its proper divisors (1582913088).

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

516841920 is a wasteful number, since it uses less digits than its factorization.

516841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 516841920 is about 22734.1575608158. The cubic root of 516841920 is about 802.5139252832.

The spelling of 516841920 in words is "five hundred sixteen million, eight hundred forty-one thousand, nine hundred twenty".