526680000 has 840 divisors, whose sum is σ = 2475707520. Its totient is φ = 103680000.

The previous prime is 526679999. The next prime is 526680071. The reversal of 526680000 is 86625.

It is a tau number, because it is divible by the number of its divisors (840).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27719991 + ... + 27720009.

Almost surely, 2^526680000 is an apocalyptic number.

526680000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237853760).

526680000 is an abundant number, since it is smaller than the sum of its proper divisors (1949027520).

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

526680000 is a wasteful number, since it uses less digits than its factorization.

526680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 526680000 is about 22949.5097986863. The cubic root of 526680000 is about 807.5739020568.

The spelling of 526680000 in words is "five hundred twenty-six million, six hundred eighty thousand".