526705920 has 216 divisors, whose sum is σ = 1963086216. Its totient is φ = 129613824.

The previous prime is 526705919. The next prime is 526705931. The reversal of 526705920 is 29507625.

526705920 is a `hidden beast` number, since 5 + 2 + 67 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86713344 + 439992576 = 9312^2 + 20976^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 148002 + ... + 151518.

Almost surely, 2^526705920 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 526705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981543108).

526705920 is an abundant number, since it is smaller than the sum of its proper divisors (1436380296).

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

526705920 is a wasteful number, since it uses less digits than its factorization.

526705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 526705920 is about 22950.0745096830. The cubic root of 526705920 is about 807.5871498051.

The spelling of 526705920 in words is "five hundred twenty-six million, seven hundred five thousand, nine hundred twenty".