9085527000 has 672 divisors, whose sum is σ = 35376999840. Its totient is φ = 2181168000.

The previous prime is 9085526987. The next prime is 9085527001. The reversal of 9085527000 is 7255809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9085527001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 88208949 + ... + 88209051.

It is an arithmetic number, because the mean of its divisors is an integer number (52644345).

Almost surely, 2^9085527000 is an apocalyptic number.

9085527000 is a gapful number since it is divisible by the number (90) 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 9085527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688499920).

9085527000 is an abundant number, since it is smaller than the sum of its proper divisors (26291472840).

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

9085527000 is a wasteful number, since it uses less digits than its factorization.

9085527000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 9085527000 is about 95318.0308231344. The cubic root of 9085527000 is about 2086.6520729460.

It can be divided in two parts, 90855 and 27000, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 9085527000 in words is "nine billion, eighty-five million, five hundred twenty-seven thousand".