520968672 has 288 divisors, whose sum is σ = 1862445312. Its totient is φ = 139843584.

The previous prime is 520968659. The next prime is 520968697. The reversal of 520968672 is 276869025.

520968672 is a `hidden beast` number, since 520 + 9 + 68 + 67 + 2 = 666.

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, 925063 + ... + 925625.

It is an arithmetic number, because the mean of its divisors is an integer number (6466824).

Almost surely, 2^520968672 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 520968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931222656).

520968672 is an abundant number, since it is smaller than the sum of its proper divisors (1341476640).

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

520968672 is a wasteful number, since it uses less digits than its factorization.

520968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 520968672 is about 22824.7381584105. The cubic root of 520968672 is about 804.6441707605.

The spelling of 520968672 in words is "five hundred twenty million, nine hundred sixty-eight thousand, six hundred seventy-two".