9085713840 has 320 divisors, whose sum is σ = 35933414400. Its totient is φ = 2067019776.

The previous prime is 9085713803. The next prime is 9085713859. The reversal of 9085713840 is 483175809.

9085713840 is a `hidden beast` number, since 9 + 0 + 8 + 571 + 38 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3521671 + ... + 3524249.

It is an arithmetic number, because the mean of its divisors is an integer number (112291920).

Almost surely, 2^9085713840 is an apocalyptic number.

9085713840 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 9085713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966707200).

9085713840 is an abundant number, since it is smaller than the sum of its proper divisors (26847700560).

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

9085713840 is a wasteful number, since it uses less digits than its factorization.

9085713840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9085713840 is about 95319.0109054852. The cubic root of 9085713840 is about 2086.6663765522. Note that the first 3 decimals are identical.

The spelling of 9085713840 in words is "nine billion, eighty-five million, seven hundred thirteen thousand, eight hundred forty".