526397568 has 64 divisors (see below), whose sum is σ = 1411924800. Its totient is φ = 173749248.

The previous prime is 526397567. The next prime is 526397569. The reversal of 526397568 is 865793625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (526397567) and next prime (526397569).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 526397568.

It is not an unprimeable number, because it can be changed into a prime (526397567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32898 + ... + 46206.

It is an arithmetic number, because the mean of its divisors is an integer number (22061325).

Almost surely, 2^526397568 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 526397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705962400).

526397568 is an abundant number, since it is smaller than the sum of its proper divisors (885527232).

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

526397568 is a wasteful number, since it uses less digits than its factorization.

526397568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13429 (or 13417 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 526397568 is about 22943.3556394874. The cubic root of 526397568 is about 807.4295224876.

It can be divided in two parts, 5263 and 97568, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 526397568 in words is "five hundred twenty-six million, three hundred ninety-seven thousand, five hundred sixty-eight".