523648320 has 112 divisors (see below), whose sum is σ = 1790517120. Its totient is φ = 128894976.

The previous prime is 523648313. The next prime is 523648357. The reversal of 523648320 is 23846325.

It is a happy number.

It is a super-3 number, since 3×523648320³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (15986760).

Almost surely, 2^523648320 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 523648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895258560).

523648320 is an abundant number, since it is smaller than the sum of its proper divisors (1266868800).

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

523648320 is a wasteful number, since it uses less digits than its factorization.

523648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41992 (or 41982 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 523648320 is about 22883.3633891524. The cubic root of 523648320 is about 806.0213980818.

The spelling of 523648320 in words is "five hundred twenty-three million, six hundred forty-eight thousand, three hundred twenty".