523636960 has 192 divisors, whose sum is σ = 1624250880. Its totient is φ = 154552320.

The previous prime is 523636933. The next prime is 523636961. The reversal of 523636960 is 69636325.

It is a happy number.

523636960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523636961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232962 + ... + 235198.

It is an arithmetic number, because the mean of its divisors is an integer number (8459640).

Almost surely, 2^523636960 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 523636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812125440).

523636960 is an abundant number, since it is smaller than the sum of its proper divisors (1100613920).

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

523636960 is a wasteful number, since it uses less digits than its factorization.

523636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 523636960 is about 22883.1151725459. The cubic root of 523636960 is about 806.0155694439.

The spelling of 523636960 in words is "five hundred twenty-three million, six hundred thirty-six thousand, nine hundred sixty".