526832640 has 352 divisors, whose sum is σ = 1941538560. Its totient is φ = 135364608.

The previous prime is 526832639. The next prime is 526832651. The reversal of 526832640 is 46238625.

526832640 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 526832595 and 526832604.

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 31 ways as a sum of consecutive naturals, for example, 5114829 + ... + 5114931.

Almost surely, 2^526832640 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 526832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970769280).

526832640 is an abundant number, since it is smaller than the sum of its proper divisors (1414705920).

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

526832640 is a wasteful number, since it uses less digits than its factorization.

526832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 526832640 is about 22952.8351190000. The cubic root of 526832640 is about 807.6519103186.

The spelling of 526832640 in words is "five hundred twenty-six million, eight hundred thirty-two thousand, six hundred forty".