526927680 has 280 divisors, whose sum is σ = 1941774120. Its totient is φ = 135475200.

The previous prime is 526927673. The next prime is 526927697. The reversal of 526927680 is 86729625.

It can be written as a sum of positive squares in 4 ways, for example, as 137733696 + 389193984 = 11736^2 + 19728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 751330 + ... + 752030.

Almost surely, 2^526927680 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 526927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970887060).

526927680 is an abundant number, since it is smaller than the sum of its proper divisors (1414846440).

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

526927680 is a wasteful number, since it uses less digits than its factorization.

526927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 526927680 is about 22954.9053581146. The cubic root of 526927680 is about 807.7004738892.

The spelling of 526927680 in words is "five hundred twenty-six million, nine hundred twenty-seven thousand, six hundred eighty".