9005653420 has 24 divisors (see below), whose sum is σ = 18960505200. Its totient is φ = 3592997952.

The previous prime is 9005653411. The next prime is 9005653429. The reversal of 9005653420 is 243565009.

9005653420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9005653411) and next prime (9005653429).

It is a super-2 number, since 2×9005653420² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9005653429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 570990 + ... + 586549.

It is an arithmetic number, because the mean of its divisors is an integer number (790021050).

Almost surely, 2^9005653420 is an apocalyptic number.

It is an amenable number.

9005653420 is an abundant number, since it is smaller than the sum of its proper divisors (9954851780).

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

9005653420 is a wasteful number, since it uses less digits than its factorization.

9005653420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157937 (or 1157935 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 9005653420 is about 94898.1212669671. The cubic root of 9005653420 is about 2080.5192721650.

The spelling of 9005653420 in words is "nine billion, five million, six hundred fifty-three thousand, four hundred twenty".