9090085410 has 128 divisors (see below), whose sum is σ = 27784512000. Its totient is φ = 2071630080.

The previous prime is 9090085357. The next prime is 9090085421. The reversal of 9090085410 is 145800909.

9090085410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9090085410³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652720 + ... + 666500.

It is an arithmetic number, because the mean of its divisors is an integer number (217066500).

Almost surely, 2^9090085410 is an apocalyptic number.

9090085410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090085410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892256000).

9090085410 is an abundant number, since it is smaller than the sum of its proper divisors (18694426590).

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

9090085410 is a wasteful number, since it uses less digits than its factorization.

9090085410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9090085410 is about 95341.9394075870. The cubic root of 9090085410 is about 2087.0009877771. Note that the first 3 decimals are identical.

The spelling of 9090085410 in words is "nine billion, ninety million, eighty-five thousand, four hundred ten".