526563840 has 320 divisors, whose sum is σ = 1923305472. Its totient is φ = 121651200.

The previous prime is 526563833. The next prime is 526563847. The reversal of 526563840 is 48365625.

It is an interprime number because it is at equal distance from previous prime (526563833) and next prime (526563847).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (526563847) by changing a digit.

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, 1942905 + ... + 1943175.

Almost surely, 2^526563840 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 526563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961652736).

526563840 is an abundant number, since it is smaller than the sum of its proper divisors (1396741632).

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

526563840 is a wasteful number, since it uses less digits than its factorization.

526563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 526563840 is about 22946.9788861192. The cubic root of 526563840 is about 807.5145271791.

The spelling of 526563840 in words is "five hundred twenty-six million, five hundred sixty-three thousand, eight hundred forty".