526648080 has 240 divisors, whose sum is σ = 1999961280. Its totient is φ = 113992704.

The previous prime is 526648079. The next prime is 526648081. The reversal of 526648080 is 80846625.

It is an interprime number because it is at equal distance from previous prime (526648079) and next prime (526648081).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (526648081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 222262 + ... + 224618.

It is an arithmetic number, because the mean of its divisors is an integer number (8333172).

Almost surely, 2^526648080 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 526648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999980640).

526648080 is an abundant number, since it is smaller than the sum of its proper divisors (1473313200).

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

526648080 is a wasteful number, since it uses less digits than its factorization.

526648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 526648080 is about 22948.8143484582. The cubic root of 526648080 is about 807.5575871029.

The spelling of 526648080 in words is "five hundred twenty-six million, six hundred forty-eight thousand, eighty".