523560960 has 576 divisors, whose sum is σ = 2146435200. Its totient is φ = 116785152.

The previous prime is 523560959. The next prime is 523560971. The reversal of 523560960 is 69065325.

523560960 is a `hidden beast` number, since 5 + 2 + 3 + 560 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×523560960² = 548232157672243200, which contains 22 as substring.

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

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, 22763509 + ... + 22763531.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450).

Almost surely, 2^523560960 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 523560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

523560960 is an abundant number, since it is smaller than the sum of its proper divisors (1622874240).

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

523560960 is a wasteful number, since it uses less digits than its factorization.

523560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 523560960 is about 22881.4544992227. The cubic root of 523560960 is about 805.9765728669.

The spelling of 523560960 in words is "five hundred twenty-three million, five hundred sixty thousand, nine hundred sixty".