517068000 has 288 divisors, whose sum is σ = 1876597632. Its totient is φ = 134784000.

The previous prime is 517067963. The next prime is 517068029. The reversal of 517068000 is 860715.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1907865 + ... + 1908135.

It is an arithmetic number, because the mean of its divisors is an integer number (6515964).

Almost surely, 2^517068000 is an apocalyptic number.

517068000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938298816).

517068000 is an abundant number, since it is smaller than the sum of its proper divisors (1359529632).

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

517068000 is a wasteful number, since it uses less digits than its factorization.

517068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

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

The square root of 517068000 is about 22739.1292709286. The cubic root of 517068000 is about 802.6309216627.

The spelling of 517068000 in words is "five hundred seventeen million, sixty-eight thousand".