9005538924 has 36 divisors (see below), whose sum is σ = 22771344960. Its totient is φ = 3000877920.

The previous prime is 9005538901. The next prime is 9005538929. The reversal of 9005538924 is 4298355009.

9005538924 is a `hidden beast` number, since 9 + 0 + 0 + 553 + 8 + 92 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9005538924.

It is not an unprimeable number, because it can be changed into a prime (9005538929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77509 + ... + 154979.

It is an arithmetic number, because the mean of its divisors is an integer number (632537360).

Almost surely, 2^9005538924 is an apocalyptic number.

It is an amenable number.

9005538924 is an abundant number, since it is smaller than the sum of its proper divisors (13765806036).

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

9005538924 is a wasteful number, since it uses less digits than its factorization.

9005538924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80710 (or 80705 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9005538924 is about 94897.5180075854. The cubic root of 9005538924 is about 2080.5104550316.

The spelling of 9005538924 in words is "nine billion, five million, five hundred thirty-eight thousand, nine hundred twenty-four".