526830816 has 96 divisors (see below), whose sum is σ = 1470661920. Its totient is φ = 165132288.

The previous prime is 526830769. The next prime is 526830823. The reversal of 526830816 is 618038625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471090 + ... + 472206.

It is an arithmetic number, because the mean of its divisors is an integer number (15319395).

Almost surely, 2^526830816 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 526830816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735330960).

526830816 is an abundant number, since it is smaller than the sum of its proper divisors (943831104).

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

526830816 is a wasteful number, since it uses less digits than its factorization.

526830816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 526830816 is about 22952.7953853120. The cubic root of 526830816 is about 807.6509782334.

The spelling of 526830816 in words is "five hundred twenty-six million, eight hundred thirty thousand, eight hundred sixteen".