526436560 has 80 divisors (see below), whose sum is σ = 1324915200. Its totient is φ = 193374720.

The previous prime is 526436551. The next prime is 526436563. The reversal of 526436560 is 65634625.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×526436560³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526436563) 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 15 ways as a sum of consecutive naturals, for example, 218241 + ... + 220639.

It is an arithmetic number, because the mean of its divisors is an integer number (16561440).

Almost surely, 2^526436560 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 526436560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662457600).

526436560 is an abundant number, since it is smaller than the sum of its proper divisors (798478640).

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

526436560 is a wasteful number, since it uses less digits than its factorization.

526436560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 526436560 is about 22944.2053686764. The cubic root of 526436560 is about 807.4494583159.

The spelling of 526436560 in words is "five hundred twenty-six million, four hundred thirty-six thousand, five hundred sixty".