526704640 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 163184640.

The previous prime is 526704631. The next prime is 526704653. The reversal of 526704640 is 46407625.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 526704596 and 526704605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153837 + ... + 3154003.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2^526704640 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 526704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

526704640 is an abundant number, since it is smaller than the sum of its proper divisors (1058645504).

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

526704640 is a wasteful number, since it uses less digits than its factorization.

526704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 526704640 is about 22950.0466230463. The cubic root of 526704640 is about 807.5864956055.

The spelling of 526704640 in words is "five hundred twenty-six million, seven hundred four thousand, six hundred forty".