526725760 has 128 divisors (see below), whose sum is σ = 1433842560. Its totient is φ = 183152640.

The previous prime is 526725701. The next prime is 526725779. The reversal of 526725760 is 67527625.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 160294 + ... + 163546.

It is an arithmetic number, because the mean of its divisors is an integer number (11201895).

Almost surely, 2^526725760 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 526725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716921280).

526725760 is an abundant number, since it is smaller than the sum of its proper divisors (907116800).

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

526725760 is a wasteful number, since it uses less digits than its factorization.

526725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 526725760 is about 22950.5067482180. The cubic root of 526725760 is about 807.5972897632.

The spelling of 526725760 in words is "five hundred twenty-six million, seven hundred twenty-five thousand, seven hundred sixty".