9006933960 has 96 divisors (see below), whose sum is σ = 29289349440. Its totient is φ = 2400469632.

The previous prime is 9006933953. The next prime is 9006933973. The reversal of 9006933960 is 693396009.

9006933960 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-2 number, since 2×9006933960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 723549 + ... + 735891.

It is an arithmetic number, because the mean of its divisors is an integer number (305097390).

Almost surely, 2^9006933960 is an apocalyptic number.

9006933960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9006933960 is an abundant number, since it is smaller than the sum of its proper divisors (20282415480).

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

9006933960 is a wasteful number, since it uses less digits than its factorization.

9006933960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 9006933960 is about 94904.8679468024. The cubic root of 9006933960 is about 2080.6178791829.

The spelling of 9006933960 in words is "nine billion, six million, nine hundred thirty-three thousand, nine hundred sixty".