9008420512 has 96 divisors (see below), whose sum is σ = 22073990400. Its totient is φ = 3523627008.

The previous prime is 9008420503. The next prime is 9008420537. The reversal of 9008420512 is 2150248009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241789 + ... + 276547.

It is an arithmetic number, because the mean of its divisors is an integer number (229937400).

Almost surely, 2^9008420512 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 9008420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036995200).

9008420512 is an abundant number, since it is smaller than the sum of its proper divisors (13065569888).

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

9008420512 is a wasteful number, since it uses less digits than its factorization.

9008420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34878 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 9008420512 is about 94912.6994242604. The cubic root of 9008420512 is about 2080.7323382777.

The spelling of 9008420512 in words is "nine billion, eight million, four hundred twenty thousand, five hundred twelve".