520001664 has 256 divisors, whose sum is σ = 1776660480. Its totient is φ = 130977792.

The previous prime is 520001609. The next prime is 520001681. The reversal of 520001664 is 466100025.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 803389 + ... + 804035.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^520001664 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 520001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240).

520001664 is an abundant number, since it is smaller than the sum of its proper divisors (1256658816).

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

520001664 is a wasteful number, since it uses less digits than its factorization.

520001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 520001664 is about 22803.5449875672. The cubic root of 520001664 is about 804.1460094717.

Adding to 520001664 its reverse (466100025), we get a palindrome (986101689).

The spelling of 520001664 in words is "five hundred twenty million, one thousand, six hundred sixty-four".