8526490920 has 384 divisors, whose sum is σ = 30561148800. Its totient is φ = 2131992576.

The previous prime is 8526490859. The next prime is 8526490943. The reversal of 8526490920 is 290946258.

It is a Cunningham number, because it is equal to 92339²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25300992 + ... + 25301328.

It is an arithmetic number, because the mean of its divisors is an integer number (79586325).

Almost surely, 2^8526490920 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 8526490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280574400).

8526490920 is an abundant number, since it is smaller than the sum of its proper divisors (22034657880).

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

8526490920 is a wasteful number, since it uses less digits than its factorization.

8526490920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8526490920 is about 92338.9999945852. Note that the first 5 decimals coincide. The cubic root of 8526490920 is about 2042.9454855527.

The spelling of 8526490920 in words is "eight billion, five hundred twenty-six million, four hundred ninety thousand, nine hundred twenty".