9085700 has 72 divisors (see below), whose sum is σ = 22055880. Its totient is φ = 3225600.

The previous prime is 9085693. The next prime is 9085717. The reversal of 9085700 is 75809.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2775556 + 6310144 = 1666^2 + 2512^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37580 + ... + 37820.

Almost surely, 2^9085700 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 9085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027940).

9085700 is an abundant number, since it is smaller than the sum of its proper divisors (12970180).

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

9085700 is a wasteful number, since it uses less digits than its factorization.

9085700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 9085700 is about 3014.2494919963. The cubic root of 9085700 is about 208.6665317033. Note that the first 3 decimals are identical.

The spelling of 9085700 in words is "nine million, eighty-five thousand, seven hundred".