9085221600 has 576 divisors, whose sum is σ = 38553532416. Its totient is φ = 1803386880.

The previous prime is 9085221577. The next prime is 9085221623. The reversal of 9085221600 is 61225809.

It is an interprime number because it is at equal distance from previous prime (9085221577) and next prime (9085221623).

It is a super-2 number, since 2×9085221600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3711577 + ... + 3714023.

It is an arithmetic number, because the mean of its divisors is an integer number (66933216).

Almost surely, 2^9085221600 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 9085221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276766208).

9085221600 is an abundant number, since it is smaller than the sum of its proper divisors (29468310816).

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

9085221600 is a wasteful number, since it uses less digits than its factorization.

9085221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 9085221600 is about 95316.4288042728. The cubic root of 9085221600 is about 2086.6286925123.

The spelling of 9085221600 in words is "nine billion, eighty-five million, two hundred twenty-one thousand, six hundred".