9905040 has 60 divisors (see below), whose sum is σ = 33266844. Its totient is φ = 2641152.

The previous prime is 9905017. The next prime is 9905053. The reversal of 9905040 is 405099.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 8225424 = 1296^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9904995 and 9905013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6159 + ... + 7598.

Almost surely, 2^9905040 is an apocalyptic number.

9905040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9905040 is an abundant number, since it is smaller than the sum of its proper divisors (23361804).

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

9905040 is a wasteful number, since it uses less digits than its factorization.

9905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9905040 is about 3147.2273511775. The cubic root of 9905040 is about 214.7593485486.

The spelling of 9905040 in words is "nine million, nine hundred five thousand, forty".